{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Analysis, Goals, and Predictions\n",
    "\n",
    "Here, I'd like to go over the loss functions being used to train the models and what we are aiming for, so that we can better understand the models' performance as training progresses. My approach will follow that of Ng (2015), as outlined in the textbook __\"Deep Learning\" by Goodfellow et al.__:\n",
    "\n",
    "* Determine your goals -- error metric(s) and target (re: desired) value(s). \n",
    "* Establish a working end-to-end pipeline. \n",
    "* Determine bottlenecks in performance, their sources, and whether they're due to overfitting/underfitting/software defect(s). \n",
    "* Repeatedly make incremental changes such as gathering new data, adjusting hyperparams, or changing algorithms. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Selecting Hyperparameters"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Manual HyperParameter Tuning\n",
    "\n",
    "Here are I'll just bullet the main ideas:\n",
    "* The learning rate is perhaps the most important hyperparameter. The training error increases appx exponentially as the learning rate decreases below its optimal value. Above the optimal value, the training error basically shoots off to infinity (vertical wall). \n",
    "* Next, the best perfomance usually comes from a large model that is regularized well, for example, by using dropout. \n",
    "* Table showing typical hyperparameter relationships with model capacity. Remember that you can basically brute force your way to good performance by jacking up the model capacity and training set size. \n",
    "\n",
    "| Hyperparameter | Increases capacity when... | \n",
    "| -------------- | -------------------------- |\n",
    "| Num hidden units | increased | \n",
    "| Learning rate | tuned optimally |\n",
    "| Convolution kernal width | increased | \n",
    "| Implicit zero padding | increased | \n",
    "| Weight decay coefficient | decreased | \n",
    "| Dropout rate | decreased | \n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Automatic HyperParameter Optimization\n",
    "\n",
    "__Grid Search__: This is what I'm doing right now. User selects a small finite set of values to explore. Grid search trains a model for every joint specification of hyperparameter values in the Cartesian product of possible values. The experiment with the best _validation error_ is chosen as the best. \n",
    "\n",
    "__Random Search (Better)__: \n",
    "1. Define a marginal distribution for each hyperparameter, e.g. multinoulli for discrete hparams or uniform (log-scale) for positive real-valued hyparams. For example, if we were interested in the range $[10^{-5}, 0.1]$ for the learning rate:\n",
    "$$\n",
    "\\begin{align}\n",
    "\\texttt{logLearningRate} &\\sim Unif[-1, -5] \\\\\n",
    "\\texttt{learningRate} &= 10^{logLearningRate}\n",
    "\\end{align}\n",
    "$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Debugging Strategies"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Determining whether or not a machine learning model is broken is hard. Here are some debugging tips:\n",
    "* __Visualize the model in action__: Not just the quantitative stuff. How do the filters look? How is the chatbot responding?\n",
    "* __Visualize the worst mistakes__: For example, our chatbot models output probabilities for the word tokens, and we either sample or argmax. One way to get an idea of what sentences our model does poorly on is to choose examples where the output probability max is *small*. In other words, if argmax(output) is much lower than usual, that says our model is rather unsure what is the best next word (think of the limiting case where it outputs 1/numOutputs for all possible tokens!). \n",
    "* __Fit a tiny dataset__: Oooh, I like this one! Even small models can be guaranteed to be able to fit a sufficiently small dataset. Make sure you can write program that can train on say, a handful of input-output sentences, and produce the output given any of the inputs with near perfect accuracy. \n",
    "* __Monitor histograms of activations/gradients__: The preactivation can tell us if the units saturate, or how often they do. For tanh units, the average of the absolute value of the preactivations tells us how saturated the unit is. It is also useful to compare the parameter gradients with the parameters themselves. Ideally, we'd like the gradients over a minibatch to be about 1 percent of the magnitude of the parameter. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Plotting the Hyperparameter-Search Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "%matplotlib inline\n",
    "plt.style.use('ggplot')\n",
    "plt.rcParams['figure.figsize'] = 10, 8\n",
    "BASE = '/home/brandon/Documents/seq2seq_projects/data/saved_train_data/'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>embed_size</th>\n",
       "      <th>global_step</th>\n",
       "      <th>learning_rate</th>\n",
       "      <th>loss</th>\n",
       "      <th>state_size</th>\n",
       "      <th>vocab_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>56</td>\n",
       "      <td>2</td>\n",
       "      <td>0.189885</td>\n",
       "      <td>9.211146</td>\n",
       "      <td>380</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>56</td>\n",
       "      <td>203</td>\n",
       "      <td>0.189885</td>\n",
       "      <td>5.385020</td>\n",
       "      <td>380</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>56</td>\n",
       "      <td>404</td>\n",
       "      <td>0.189885</td>\n",
       "      <td>5.219425</td>\n",
       "      <td>380</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>56</td>\n",
       "      <td>605</td>\n",
       "      <td>0.189885</td>\n",
       "      <td>4.849638</td>\n",
       "      <td>380</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>56</td>\n",
       "      <td>806</td>\n",
       "      <td>0.189885</td>\n",
       "      <td>4.682628</td>\n",
       "      <td>380</td>\n",
       "      <td>10000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   embed_size  global_step  learning_rate      loss  state_size  vocab_size\n",
       "0          56            2       0.189885  9.211146         380       10000\n",
       "0          56          203       0.189885  5.385020         380       10000\n",
       "0          56          404       0.189885  5.219425         380       10000\n",
       "0          56          605       0.189885  4.849638         380       10000\n",
       "0          56          806       0.189885  4.682628         380       10000"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path = BASE + 'cornell_03_11.csv'\n",
    "df = pd.read_csv(path, index_col=0)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{32}\n",
      "{128}\n",
      "{0.5}\n"
     ]
    }
   ],
   "source": [
    "embed_sizes = set(df['embed_size'])\n",
    "state_sizes = set(df['state_size'])\n",
    "learning_rates = set(df['learning_rate'])\n",
    "print(embed_sizes)\n",
    "print(state_sizes)\n",
    "print(learning_rates)\n",
    "\n",
    "def get_split(df, col, vals):\n",
    "    return [(v, df[df[col]==v]) for v in vals]\n",
    "\n",
    "def split_df_and_plot(df, split_col, split_vals):\n",
    "    \"\"\"\n",
    "    Example usage:\n",
    "        split_df_and_plot(df, 'learning_rate', learning_rates)\n",
    "    \"\"\"\n",
    "    df_split = get_split(df, split_col, split_vals)\n",
    "    plt.figure(figsize=(8, 6))\n",
    "    for val, df_sp in df_split:\n",
    "        ax=plt.subplot()\n",
    "        plt.scatter(df_sp['global_step'], df_sp['loss'], label='%.3f' % val)\n",
    "\n",
    "    plt.title(split_col + ' Comparisons', fontsize=20)\n",
    "    ax.set_xlabel('Global Step', fontsize=15)\n",
    "    ax.set_ylabel('Validation Loss', fontsize=15)\n",
    "    leg = ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., \n",
    "               title=split_col, prop={'size':15})\n",
    "    plt.setp(leg.get_title(),fontsize=20)\n",
    "    plt.tight_layout()\n",
    "    plt.savefig(split_col+'.pdf', bbox_extra_artists=(leg,), bbox_inches='tight')\n",
    "    plt.show()\n",
    "    \n",
    "def inception_split(df, split_col_one, split_vals_one, split_col_two, split_vals_two):\n",
    "    \"\"\"ENHANCE\"\"\"\n",
    "    df_split_one = get_split(df, split_col_one, split_vals_one)\n",
    "    fig = plt.figure(figsize=(12, 10))\n",
    "    ctr = 1\n",
    "    for val_one, df_sp_one in df_split_one:\n",
    "        df_split_two = get_split(df_sp_one, split_col_two, split_vals_two)\n",
    "        ax=fig.add_subplot(3, 2, ctr)\n",
    "        for val_two, df_sp_two in df_split_two:\n",
    "            ax.scatter(df_sp_two['global_step'], df_sp_two['loss'], label=split_col_two + ': %.2f' % val_two)\n",
    "            ax.set_ylim([3., 10.])\n",
    "            plt.title(split_col_one + ' = %.2f' % val_one, fontsize=15)\n",
    "            ax.set_xlabel('Global Step', fontsize=12)\n",
    "            ax.set_ylabel('Validation Loss', fontsize=12)\n",
    "            if ctr in [2, 4, 6]:\n",
    "                leg = ax.legend(bbox_to_anchor=(1.05, 1), loc=2, borderaxespad=0., \n",
    "                       title=split_col_two, prop={'size':12})\n",
    "                plt.setp(leg.get_title(),fontsize=15)\n",
    "        ctr += 1\n",
    "    plt.tight_layout()\n",
    "    plt.savefig(split_col_one + \"_\" + split_col_two + '.pdf', bbox_extra_artists=(leg,), bbox_inches='tight')\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Single Plots Distinguishing One Variable"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAskAAAGoCAYAAAC0dXiPAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nMgAABJEMAADhAFNBoiyveJ16AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8cd39828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAr8AAAGoCAYAAABPIo1QAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d5aee10>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAArQAAAGoCAYAAAC3wnanAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XlYlFX/+PE3MAyIgKxluJaIO08gCqI/Sdy11Cz3BXAL\nccnq0UQzd8vMJSFR7HGFHtQCK3Nf0kdzywJX3EoEERcW2RmYmd8fXsy3aUYFSoj8vK6LSznn3Oec\n+0hXH8587nObaLVaLUIIIYQQQlRTplU9ASGEEEIIIf4MCWiFEEIIIUS1JgGtEEIIIYSo1iSgFUII\nIYQQ1ZoEtEIIIYQQolqTgFYIIYQQQlRrEtAK8Qzz9/fH39+/qqch/iA2NpYmTZoQGxtb1VMRQohq\nwUTOoRXiyaKiomjdujXNmjWr0PV5eXmsW7eOgIAAbG1t/+LZVdzhw4cB8PPzq7I5FBcXExsby+7d\nu0lMTCQnJwc7Ozvq1q1L9+7d6d+/P7Vq1aqy+VWFW7duce7cOVq1akWdOnWqejpCCPG3JwGtEE+g\nUqnw9PRk3rx59O/fv0J9nDhxgoCAAA4cOEDdunX/4hlWX6mpqQQHB3P58mXatGlD586dcXR0JC0t\njSNHjnD69Gnq1KnDqlWraNq0aVVPVwghxN+UoqonIMTfXWJiIsXFxX+qj3Pnzv1Fs/nnKCoq4q23\n3uL69et8/PHHvP7663r148aNIzY2lpkzZzJ58mS+++47LCwsqmi2Qggh/s5kh1Y8s4qLi4mOjmb7\n9u2kpKSgVqt54YUX6NGjB8HBwSiVSqZPn05cXJzedZs2bcLb2xutVsuWLVvYtm0b169fB6BOnTq8\n+uqrBAUFYWlpCTzMU71165ZeH5cvX9b9/auvviImJoarV69iampKw4YN6d+/P8OGDcPUtGJp7snJ\nyaxevZoTJ05w7949rKyscHNzIzAwUC9ntvTvBw8efORcf+/3O8xqtZoNGzawfft2bty4gbm5OW5u\nbgwdOpQ+ffo8cY5RUVHMnz+foKAgpk+f/sh2S5cupaSkhNGjR+Pk5AQ8DIbXrl3Lzp07SUlJwczM\nDFdXVwYOHMiAAQN01548eZKRI0fy9ttv06JFC5YuXcqNGzdwcnJi9OjRDBs2jP/9738sX76c69ev\n4+TkxGuvvcbbb7+NiYkJAGFhYYSHh7NmzRpu3LjBl19+SWpqKg4ODrz++utMmDABpVKpG/POnTus\nXbuWAwcOcO/ePWxsbHB1dSU4OJj27dvr2qWkpNC5c2fefPNN2rRpw4oVK3BycuKrr74iNjaW0NBQ\nPvroI92nAvfv32ft2rX88MMPpKWlYWFhwYsvvsjgwYMNfhm4fv06n3/+OSdPniQrK4tatWrh5eXF\nhAkTaNKkia5d6c/3Dz/8wHfffcfWrVtJS0vD3t6e119/nbfffhszMzMAtFotsbGxbNmyhaSkJAoL\nC3nuuefo1KkTEyZMeObSQoQQfy+yQyueWQsWLCAmJobevXszYsQIzMzMOH36NKtWreLKlSuEh4cz\nbNgwrKysiI6OZtiwYbRt25bGjRsDsGzZMiIjI/Hz82Po0KGYmJhw7NgxVqxYwYULFwgPDwdg9uzZ\nfPHFF5w6dYrZs2fj4OCgm8PHH3/M+vXr6dy5M4MGDaKkpIRDhw6xYMECEhMTWbhwYbnvKycnh8GD\nB6NSqQgICKBBgwZkZ2cTGxtLSEgI4eHhdOnSxei1s2fPpqCgQK8sIyODhQsX4ujoiL29PfAwuHnn\nnXfYt28fffr0ISgoiPz8fHbs2MHUqVNJSUkhJCTksfPcvn07JiYmBAUFPbbde++9p/e9RqMhODiY\nH3/8kd69exMYGIhKpWL37t188MEHpKSk8M477+hdc/HiRWJjYxk+fDjm5uasXbuWefPmUVhYSFRU\nFCNGjMDa2ppNmzYRERFBkyZN6Nmzp14fmzZtIj09neHDh2NjY8O3337L6tWrycnJ4cMPPwQgPz+f\n4cOHk5aWxqhRo3B1dSUzM5OYmBhGjRrF559/brD2aWlphIWFMX78eJydnY2ugVqtJjAwkKSkJAIC\nAmjcuDGFhYXs2rWL6dOnk5OTw8iRIwG4cuUKQ4YMQaFQMHjwYF588UVSUlKIjo5m8ODBfPnllwa5\n4KUBfWBgIAqFgpiYGNasWYOjoyMBAQEArF27lqVLl9KhQwf+/e9/o1QquXjxItHR0fz00098/fXX\nul8ChBCi0mmFeEZ5enpqe/fubVC+Zs0a7YQJE7R5eXlarVar/frrr7Vubm7ar7/+Wq/dtGnTtKNG\njdKq1Wq98oEDB2rd3Ny0t2/f1pW9//77Wjc3N21ycrKu7NKlS1o3NzftnDlzDOYwadIkrZubm/bC\nhQvlvq+9e/dq3dzctF988YVeeWFhoXbs2LF65Z06ddJ26tTpkX2p1WptYGCgtnnz5tqffvpJV75/\n/36tm5ubdu3atXrtS0pKtAMGDNC2aNFCe//+/Uf2q1KptM2bN9d269atvLen/f7777Vubm7aWbNm\n6ZUXFxdr+/Tpo23WrJk2LS1Nq9VqtSdOnNC6ublpmzVrpk1KStK13blzp9bNzU3btGlT7bVr13Tl\nCQkJWjc3N+3UqVN1ZStXrtS6ublpfX19tdnZ2Xr30K1bN23z5s21GRkZWq1Wq7148aI2KChIu27d\nOr25Xb9+Xevm5qYNCAjQlSUnJ2vd3Ny0TZo00VtbrdbwZ+7ChQtaNzc37dy5c/XaaTQa7bvvvqtd\nvHixrmz06NFaNzc37c8//6zXtvTeRo8erSsr/bns27evtqioSFeekpKibdKkiXbo0KG6stdee03r\n6empLSkpMZjrW2+9pb1165ZWCCGqihzbJZ5ZCoWCO3fukJKSolc+btw4wsPDsbKyeuz1ixcv5j//\n+Q+mpqao1WpycnLIzs6mYcOGAAb9/tGuXbsA6NWrF9nZ2Xpf3bt3B+DUqVPlvq/Sj4gTEhJQq9W6\ncgsLCyIjIxk9enSZ+woLC+PHH39k6tSptG7dWle+c+dOAHr06KE377y8PLp27UpxcTE///zzI/vN\nysqipKSE5557rry3x759+wAYPHiwXrlCoaBv376o1WqOHDmiV9e6dWvq16+v+770ATN3d3caNWpk\nUH7v3j2DcXv27ImNjY3ue3Nzc/z9/SkpKeGXX34BoFmzZqxbt06361xQUEB2djZOTk4oFAqj6RzO\nzs56a2tM6b/pxYsX9XbQTUxMWLp0KdOmTQMe7hAfO3aMJk2a4OHhodeHu7s7bm5uHD9+nKKiIr26\nYcOG6aVN1KlTB0dHR711UCgU5Ofnk5iYqHdt//79Wb16NS4uLo+9ByGEeJok5UA8syZMmMDChQvp\n2bMnHTt2xNfXlw4dOtCgQYMyXX///n1WrlzJ4cOHuXv3LhqNRq/+98GkMdeuXQNg+PDhj2yTmppa\nprn8XocOHfDw8GDPnj34+/vTuXNnfHx88PX1xdrausz9HDlyhIiICLp3705gYKBeXWnOcOfOnSs0\n99LcYG0FUvh//fVXAFxdXQ3qXnzxRQBu3LihV/7HkyXMzc0BDI7EKg3qSkpKDPouTTX5vdKA/Pf3\nevz4cSIiIrhw4QK5ubl67Y39TJTlWK4mTZrQrVs39u7dS6dOnfD396ddu3a0b99eL4UlKSkJjUZj\ndK7wcH2uXLlCSkqKXiD/+2C/lIWFhd46jB8/nrfffpsBAwboxm7fvr1eTq4QQlQVCWjFM2vkyJE0\natSITZs28b///Y/9+/cD4OnpyZw5cx77P+rCwkKGDRvGjRs36N27N126dMHe3h5TU1PWr1/PoUOH\nnjh+Xl4e8DAXt/Rhpz96VE7l4yiVStatW0dMTAxxcXFER0cTHR2NhYUFAwcOZNq0aXq7ccakpqYy\ndepUGjRowKJFi4zO3cTEhPXr1z/ywbXHHU9mZ2eHUqmsUMCen5+Pubm50XsofRDvj3nApQHsHz1p\nHX7P2I596S8IKpUKgKNHjzJ27FhsbGwICgqiefPm1KxZE+CRO+Ol9U+ybNky4uLidA+Nff311ygU\nCnr27MmHH36Ira2t7mfqUZ8ulJ4SkZ+fb7T8cbp27UpMTAzr1q3jyJEjHD16FAA3NzdmzZpF27Zt\ny3QfQgjxNEhAK55ppbtMhYWFnDp1ih07dvDtt98SEBDA3r17H/kShIMHD3Ljxg369OnDkiVL9Oq2\nbNlSprFLA5l69erh7u7+527kD6ysrBg1ahSjRo3SnekaHR3N5s2bKSgoeOzDZiqViilTplBYWMjK\nlSuN7urWrFkTrVaLm5sbjo6O5Z6fmZkZ7u7u/PTTT/z666+89NJLj52PSqXSzcPKyori4mJUKpVB\nQFoaqJU1SCyPwsJCg7KcnBwA3cNyGzZsQKPR8Nlnn9GuXTu9a5+0Y/8k5ubmDBw4kIEDB5KRkcHR\no0fZsmUL3333Hffv32fDhg26+/5jwFqqNNCv6Pq4u7uzYsUKiouLiY+PZ/fu3WzZsoXRo0fz/fff\nG93pFUKIyiA5tELwcGevY8eOfPLJJwQEBJCZmfnY/NXS/FhfX1+98pKSEuLj48s0ZulH5sZyTfPy\n8gzyHCuqdu3aDBw4kG3btuHs7MzevXsf237x4sUkJCQwd+7cR+5SP27u2dnZRj+y/6PSo6YiIiIe\n22716tV07txZl6daOvaVK1cM2pamQvz+4/S/Smnfv1f6c1CaepCSkoKpqSk+Pj567c6cOWOQkvJn\nODg40KdPHzZv3kyLFi04fvw4OTk5NGzYEDMzM6NrAw/TXJRK5Z9+uYe5uTlt2rRh1qxZTJs2DZVK\nVaZPJYQQ4mmRgFY8k86fP0/37t3ZunWrQV3pTmDp7l/pR+q/DzBLdyX/+JBPRESELm/y9zt6xvoo\nPRbqv//9r8Hu35IlS/Dx8eHmzZvlvrfw8HD8/f3JyMjQK1coFFhYWDz2Y/adO3cSFRXFwIED6dev\n3yPblc5948aNeoGaVqtl6tSp+Pn5GeSP/lG/fv1o1aqV7vgrY/m0X331FRERETg7O9OiRQvg4YNo\nADExMXptVSoVcXFxWFhYPJVX+e7atUtv57M0iFMqlboddicnJzQajV4qxYMHD/jss8+oUaOG0V3e\nsti6dSsdO3Y0CKpNTU2pWbMmZmZmmJqaUqNGDfz8/Lhy5Qo//fSTXttTp07x22+/0alTp3KlWsDD\ns3Vfe+01VqxYYVD3x/9ehBCiKkjKgXgmNW3aFAsLC+bNm0diYiItW7bEzMyMxMREoqKiaNy4sW6X\nrXQ3Kzo6msLCQjw9PfHz88PKyop169ahVCpxdnbm4MGDpKSkMHnyZObPn09UVBQAfn5+uj6WLFlC\nmzZt6Nu3L02bNiUgIICNGzcyZMgQBg0ahEKh4PDhw+zdu5c+ffpU6CNcHx8fVq9ezaBBgxgwYAAv\nvPAC+fn57N27l5SUFKZMmWL0utTUVGbOnIm1tTVt2rRh9+7dBm1cXV1xdXWlc+fOdO3alX379hEY\nGEjfvn0pKSnh+++/5+TJk4wfP/6JD6ApFApWr17N+PHjWb58OXv27KFnz57Url2bu3fvcujQIX76\n6SdatWrFqlWrdAFTly5deOWVV9i2bRtFRUV4e3uTl5fH999/z6+//srMmTN1KQB/pYYNGzJs2DD6\n9u1LrVq1iI2NJTU1ldGjR+tOP+jZsyenT59mypQpDBkyhOzsbL788ksGDRqEqakpv/zyC5GRkXTp\n0qVcAaC3tzeffPIJI0eOZPDgwTRo0ACVSsXRo0c5deoUAwYM0KURTJs2jZ9++okJEyYwYsQI6tat\nq3shhL29PVOnTi33vT///PO88MILrF69mtTUVNq2bYuFhQW//fYbmzdvxtnZWXcyhxBCVAUJaMUz\nSaFQEB0dTUREBAcOHCAuLo7i4mLq1KnDsGHDdG8KA/Dy8qJ///7s2rWLVatWMXfuXP71r3+xZs0a\nlixZQkREBDY2NnTq1IkFCxZgamrK999/z4kTJ1AoFPj5+TF48GCOHj3K0aNHOX/+PN26dQNgxowZ\nNG7cmC1btvDRRx+h0Who2LAhU6dONThZoKy8vLyIioriiy++YNOmTWRlZaFUKmnSpAmLFy9+5M5r\ncnKybgfyUUHPxIkTmTRpEgArVqxgw4YNfPPNN8ydOxcTExNcXV1ZsGCB3tu6HsfJyYmYmBi++eYb\nvv/+ezZs2MCDBw+wsrKiWbNmfPrpp/To0UPvoS4TExPCwsJYu3Yt3333Hbt27UKpVNK8eXOjLy74\nqwwcOJCsrCyioqJITk7G0dGRSZMmERwcrGszePBgMjMziY2NZe7cuTRo0IBx48bx5ptv0rhxY2bM\nmEFERAQuLi68/PLLZR67QYMGbNmyhTVr1vDVV1+Rnp6OQqHgpZdeYsaMGXonZbz44ots3bqVlStX\n8uWXX/LgwQPs7e3x9/dnwoQJ1KtXr0L3Hx4eztq1a9m9ezf79++nqKiI559/nh49ehASEqJ32oIQ\nQlQ2efWtEEI8Rumrb5ctW0bv3r2rejpCCCGMkBxaIYQQQghRrUnKgRB/czk5ORQXF5eprZmZGbVq\n1XrKMxJCCCH+XiSgFeJvLiQkpMyvwK1Tpw4HDx58yjMSQggh/l4kh1aIv7lLly6RnZ1dprYWFhbl\nethICCGE+CeQgFYIIYQQQlRr1S7loCLvfq8IFxeXShurupA10SfrYUjWxJCsiT5ZD0OyJvpcXFyq\negqiGpJTDoQQQgghRLUmAa0QQgghhKjWJKAVQgghhBDVmgS0QgghhBCiWpOAVgghhBBCVGsS0Aoh\nhBBCiEfy9/fH39+/qqfxWBLQCiGEEEL8BaKiorh06VKFr8/LyyMsLKzML9OpLLNnz2b27NlVPY3H\nkoBWCCGEEOJPUqlUfPzxx38qoD137hzh4eF/u4DWz88PPz+/qp7GY0lAK4QQQgjxJyUmJlJcXPyn\n+jh37txfNJtnT7V7U5gQQgghRGUqLi4mOjqa7du3k5KSglqt5oUXXqBHjx4EBwfz4YcfEhcXB0Bo\naCihoaFs2rQJb29vtFotW7ZsYdu2bVy/fh2AOnXq8OqrrxIUFISlpSXwME/11q1bAHTu3BmAy5cv\n6+bw1VdfERMTw9WrVzE1NaVhw4b079+fYcOGYWpasf3J5ORkVq9ezYkTJ7h37x5WVla4ubkRGBio\nlzNb+veDBw8azNWYAwcOULduXQDUajUbNmxg+/bt3LhxA3Nzc9zc3Bg6dCh9+vSp0LyNkYBWCCGE\nEOIxFixYQExMDL1792bEiBGYmZlx+vRpVq1axZUrV3jrrbewsrIiOjqaYcOG0bZtWxo3bgzAsmXL\niIyMxM/Pj6FDh2JiYsKxY8dYsWIFFy5cIDw8HHiYp/rFF19w6tQpZs+ejYODg278jz/+mPXr19O5\nc2cGDRpESUkJhw4dYsGCBSQmJrJw4cJy31NOTg6DBw9GpVIREBBAgwYNyM7OJjY2lpCQEMLDw+nS\npYvRa2fPnk1BQYFeWUZGBgsXLsTR0RF7e3sAtFot77zzDvv27aNPnz4EBQWRn5/Pjh07mDp1Kikp\nKYSEhJR77sZIQCuEEEII8Rg7duygcePGLFu2TFfWr18/GjRowNmzZ2nUqBEtW7YEoGXLlvTo0UPX\n7u7du3To0IHVq1frdlL79+9PSkoK+/btIy0tjdq1a+Pn58euXbsA6Nixo26HMzExkfXr1zN06FC9\nB7OGDBnC5MmT+eqrrxg2bBjNmzcv1z2dOHGC+/fvM23aNEaPHq0rf/PNN5k0aRJJSUmPvPaP+bQa\njUbXx/Lly6lZsybwcEd3z549TJ06lTFjxujNfciQIaxatYpBgwbh6OhYrrkbIwHt30BhgYa8XA01\nrU2xrCFpzUIIIcTfiUKh4M6dO6SkpOgCTYBx48Y98drFixfr/q5Wq8nPz0er1dKwYUPi4+NJSUmh\ndu3aj7y+NMjt1auXwcNi3bt3Z8+ePZw6darcAa2ZmRkACQkJqNVq3fcWFhZERkaWq6+wsDB+/PFH\nQkNDad26ta58586dAPTo0cNg7l27diUhIYGff/6Zrl27lms8YySgrUIlxVp+PpFHVoaaokItFpYm\n2DmY4elTE4W5SVVPTwghhBDAhAkTWLhwIT179qRjx474+vrSoUMHGjRo8MRr79+/z8qVKzl8+DB3\n795Fo9Ho1avV6sdef+3aNQCGDx/+yDapqalluAt9HTp0wMPDgz179uDv70/nzp3x8fHB19cXa2vr\nMvdz5MgRIiIi6N69O4GBgXp1pTnDpTnBf9XcjZGAtgr9fCKPO6kluu+LCrXcSS3h5xN5tP1/Zf9h\nEkIIIcTTM3LkSBo1asSmTZv43//+x/79+wHw9PRkzpw5NGnSxOh1hYWFDBs2jBs3btC7d2+6dOmC\nvb09pqamrF+/nkOHDj1x7Ly8POBhLq6Tk5PRNs7OzuW+J6VSybp164iJiSEuLo7o6Giio6OxsLBg\n4MCBTJs2DaVS+dg+UlNTmTp1Kg0aNGDRokVG525iYsL69esf+eDa73e8/wwJaKtIYYGGrAzjv5Vl\nZagpLNBI+oEQQgjxN9G+fXvat29PYWEhp06dYseOHXz77bcEBASwd+9eo9ccPHiQGzdu0KdPH5Ys\nWaJXt2XLljKNW5qPWq9ePdzd3f/cTfyBlZUVo0aNYtSoUaSlpXHkyBGio6PZvHkzBQUFj33YTKVS\nMWXKFAoLC1m5cqXRXd2aNWui1Wpxc3P7S/JkH0cipiqSl6uhqFBrtK6oUEtersZonRBCCCGqjqWl\nJR07duSTTz4hICCAzMxMTp06ZbRtSkoKAL6+vnrlJSUlxMfHl2k8V1dXAH7++WeDury8PIqKisoz\n/UeqXbs2AwcOZNu2bTg7Oz8ySC+1ePFiEhISmDt37iN3qB839+zsbEpKSgzKK6pSA9qoqChmzpxJ\naGgoJ0+e5PPPP+e9995jzpw5zJkzx+gN/1PVtDbFwtJ4nqyFpQk1reV3DSGEEKKqnT9/nu7du7N1\n61aDutJdSaVSqftI/fcBZumu5B/PbI2IiCA3Nxd4mJZQylgfPXv2BOC///2vXluAJUuW4OPjw82b\nN8t9X+Hh4fj7+5ORkaFXrlAosLCweGy6wc6dO4mKimLgwIH069fvke1K575x40a93GGtVsvUqVPx\n8/PTrcOfVWkpB+fPnyc5OZmFCxeSk5PDtGnTaNmyJUOHDtV7Iu5ZYVnDFDsHM70c2lJ2DmaSbiCE\nEEL8DTRt2hQLCwvmzZtHYmIiLVu2xMzMjMTERKKiomjcuDE+Pj6cPXsWgOjoaAoLC/H09MTPzw8r\nKyvWrVuHUqnE2dmZgwcPkpKSwuTJk5k/fz5RUVHAw6OwSvNJlyxZQps2bejbty9NmzYlICCAjRs3\nMmTIEAYNGoRCoeDw4cPs3buXPn36UL9+/XLfl4+PD6tXr2bQoEEMGDCAF154gfz8fPbu3UtKSgpT\npkwxel1qaiozZ87E2tqaNm3asHv3boM2rq6uuLq60rlzZ7p27cq+ffsIDAykb9++lJSU8P3333Py\n5EnGjx9frgfQHsdEq9Ua/9z7L6bRaFCpVFhaWqLRaBgzZgweHh74+vqWK6D9q56GexIXF5enPlZ1\nO+WgMtakOpH1MCRrYkjWRJ+shyFZE30uLi5VPQUDOTk5REREcODAAe7evUtxcTF16tShU6dOBAcH\nY2dnBzx8S9iuXbswNzdn7ty59OrVi1OnTrFkyRKuXbuGjY0NnTp14t1338XU1JRx48Zx/vx5OnTo\nQEREBBkZGUycOJGzZ89iZ2fHf//7X+rVqwfAtm3b2LJlC1evXkWj0dCwYUP69u1LYGAgCkXF9ifj\n4+P54osviI+PJysrC6VSSZMmTRg0aJDezuvv3xR28uRJRo4c+dh+J06cyKRJk4CH6RUbNmzgm2++\nISkpCRMTE1xdXRk8eDADBgyo0LyNqbSA9vf279/PpUuXMDU1JSsri5KSEmrVqsWoUaOwtbWt7OlU\nubzcYrIfFGNby5ya1uZVPR0hhBBCiGql0gPa06dPExcXxwcffMD169exsbGhYcOGbN++nfT0dL23\nVRjzT9qhrW5kTfTJehiSNTEka6JP1sOQrIm+v+MOrfj7q9Rju+Lj44mNjWXmzJlYWVnRqlUrXZ2X\nlxdr166tzOkIIYQQQvwj5OTkUFxcXKa2ZmZm1KpV6ynPqHJVWkCbn59PVFQUs2bN0iUAf/rpp4wY\nMYLnn3+eCxcu6PJEhBBCCCFE2YWEhDzy+LA/qlOnDgcPHnzKM6pclRbQ/vjjj+Tk5LB8+XJd2Suv\nvMKKFStQKpVYWloSEhJSWdMRQgghhPjHmDFjBtnZ2WVqa2Fh8ZRnU/kqLaDt0qULXbp0MSh/5ZVX\nKmsKQgghhBD/SM2aNavqKVQpOexUCCGEEEJUaxLQCiGEEEKIak0CWiGEEEIIUa1JQCuEEEIIIao1\nCWiFEEIIIUS1JgGtEEIIIYSo1iSgFUIIIYQQ1ZoEtEIIIYQQ1VR6ejqhoaF06NABT09PBg4cyPHj\nxwEICwujadOmtGrVSu9rxYoVuutVKhVLliyhQ4cO/Otf/+L111/n6NGjjx1z48aN9O7dGw8PD3r1\n6sWGDRv06pOTkwkODsbX15d27doRHBxMcnJyufoor0p7sYIQQgghxD+VOv0eJbdTULxQFzNH50ob\nNyQkBGtra+Li4rC1tSU8PJyQkBB2794NQJs2bdi8efMjr1+wYAHnz59n48aNuLi48NVXX7Fs2TI8\nPT2xsrIyaL99+3Y+++wzVq1ahaenJ2fPnuWtt96iVq1avP766xQXFzN27Fjc3d3ZsWMHCoWCjz76\niDFjxrBjxw7Mzc2f2EdFyA6tEEIIIUQFaQryuTfvXdLeHsHd6W+RNmUE9+a9i6Yg/6mPnZOTQ6NG\njZgxYwbOzs5YWFgwduxY8vPzOXv27BOvv3v3Ltu2bWPOnDk0atSIGjVqMGLECGJjY40GswCbNm3i\njTfewMfHB6VSiZeXF2+88QYbN24E4OjRoyQlJREaGoqDgwO2tra8//77JCcnc/jw4TL1URES0Aoh\nhBBCVFAjyKOuAAAgAElEQVT6kg8oPHkETeZ90GrQZNyn8OQR0pd88NTHtrGxYdGiRTRq1EhXVvrR\nfu3atQFIS0sjKCgIb29v/P39Wbx4MYWFhQCcOnUKMzMzkpOT6dmzJ15eXowYMYILFy4YHU+lUpGY\nmIi7u7teubu7O5cvX6agoID4+Hjq16+Pvb29rt7Ozo569eqRkJBQpj4qQgJaIYQQQogKUKffQ3X1\notE61dWLqNPvVep8cnNzCQ0NpXPnzrRq1YrnnnuO+vXr8+6773L06FEWL17Md999x0cffQTA7du3\nAdi1axebNm1i7969PP/884wePZoHDx4Y9J+VlYVaraZWrVp65fb29mg0GrKyssjMzDSoL22Tnp5e\npj4qQgJaIYQQQogKKLmdgiYzw2idJiuDkrRblTaXW7duMWTIEBwdHfn0008BGDRoEP/5z39o1aoV\n5ubmtGnThnHjxhEbG0tJSQlarZbi4mKmTZuGs7MzDg4OzJ49m+zsbA4dOlTuOZiYmPyp+rK2MUYC\n2r+BwgIN6fdKKCzQVPVUhBBCCFFGihfqYmrvYLTO1M4BRe06lTKPs2fPMmDAAFq3bk1kZOQj818B\nGjRogEqlIjMzk+eeew54mBJQysbGBnt7e+7cuWNwrZ2dHQqFwmAXNTMzE4VCgb29PY6OjkZ3WTMz\nM3FycipTHxUhAW0VKinWcup/uRzZm8OPBx/+eep/uZQUa6t6akIIIYR4AjNHZ5SNmxutUzZuXimn\nHVy5coWxY8cybtw45syZg7m5ua4uIiKCH374Qa/99evXsbKywsnJiaZNmwJw7tw5XX1OTg4ZGRnU\nrVvXYCylUkmLFi1ISEjQKz9z5gwtW7bEwsICDw8PkpOTSU9P19Xfv3+fmzdv4uXlVaY+KkIC2ir0\n84k87qSWUFT4MIAtKtRyJ7WEn0/kVfHMhBBCCFEWjlMXYOndEVMHJzA1xdTBCUvvjjhOXfDUx1ar\n1UyfPp0BAwYQGBhoUJ+VlcWHH37IuXPnKCkp4fTp03zxxRcEBQVhYmJC06ZNad++PR9//DE3b94k\nNzeX+fPn89xzz+Hv7w9AVFQUI0aM0PUZGBhIbGwsx48fR6VScezYMeLi4ggKCgKgffv2uLq6snDh\nQjIzM8nIyGDBggW4ubnh6+tbpj4qQs6hrSKFBRqyMtRG67Iy1BQWaLCsIb9vCCGEEH9npjWscP5w\n2cNzaNNuoahdp9LOof3ll1+4cOECV65cMTjyqm/fvnz44YdYWloyZcoU7t69i7OzM2PGjCEgIEDX\nbvny5SxatIg33ngDlUqFl5cXmzZtokaNGsDDVICkpCRd+169epGdnc2sWbNIS0vDxcWFmTNn0qNH\nDwDMzMyIjIxk3rx5+Pv7Y2Jigq+vL5GRkZiZmZWpj4ow0Wq11erz7dTU1EoZx8XF5amOlX6vhB8P\n5j6y3tffGkfnv9fvG097TaobWQ9DsiaGZE30yXoYkjXR5+LiUtVTENWQbAFWkZrWplhYGn+Sz8LS\nhJrW8k8jhBBCCFEWEjVVEcsaptg5mBmts3Mwk3QDIYQQQogykqipCnn61OR5F4Vup9bC0oTnXRR4\n+tSs4pkJIYQQQlQff68kzWeMwtyEtv/PmsICDXm5Gmpam8rOrBBCCCFEOUlA+zdgWUMCWSGEEEKI\nipIoSgghhBBCVGsS0AohhBBCiGpNAlohhBBCCFGtSUArhBBCCCGqNQlohRBCCCFEtSYBrRBCCCFE\nNZacnMyIESNo0qQJKSkpenXR0dH06tULDw8P/P39WblyJRqNRld/5MgRBg0aROvWrWnXrh3BwcFc\nu3btkWOp1WqWL19O9+7d8fDwoF+/fnz33Xd6bc6fP09gYCDe3t506NCBd999l4yMjHL1UV4S0Aoh\nhBBCVFP79u1j0KBBuLi4GNTFxMSwfPly5syZw08//cSSJUvYsGEDmzdvBuD69euEhITQo0cPjh8/\nzq5du6hRowbjxo1Dq9UaHS8iIoLt27ezbNkyTp48ycSJEwkNDeXkyZMAZGVlMWbMGFq2bMn+/fvZ\nvn072dnZvP3222XuoyIkoBVCCCGE+JPu5RbxS0oW93KLKnXcrKwsoqOj6du3r0GdSqVi6tSptG3b\nFjMzM1q3bo2Pjw8nTpwA4PLlyxQXFzNkyBCUSiV2dna8/vrr3Lp1i/T0dIP+tFot0dHRBAUF0aJF\nC5RKJV26dMHPz49NmzYBsGPHDrRaLVOmTMHGxgYnJyf+/e9/c+rUKRITE8vUR0XIixWEEEIIISoo\nX1XCrB0XuZiWTUaeCoeaSprXtmX+q82xUj79MGvAgAEA3L5926Bu5MiRet9rtVpu3bpF69atAfD2\n9sbOzo5NmzYxfPhwNBoN27dvp02bNjg5ORn0d/PmTTIyMnB3d9crd3d31+36xsfH06JFCxSK/7v3\nJk2aYGFhQXx8PDVq1HhiHxUhO7RCCCGEEBU0a8dFjly/z/08FRrgfp6KI9fvM2vHxaqemoHPP/+c\n1NRURo0aBYCjoyMRERFs2LABDw8PWrduzfXr11m6dKnR60vzYGvVqqVXbm9vr6vLzMw0qDcxMaFW\nrVqkp6eXqY+KkIBWCCGEEKIC7uUWcTEt22jdxbTsSk8/eBS1Ws3ChQvZvHkzkZGR1K1bF4CkpCTe\neustxo0bx5kzZzh69CjNmzcnKCiIoqLyzd3ExORPtylLH48iAa0QQgghRAWkZBWQkacyWpeRr+JW\nVkElz8hQYWEh48eP59ixY2zZsgUPDw9d3bZt23B2diYwMBBra2ucnZ15//33uX79OsePHzfoqzQN\nISsrS688MzMTR0dH4OGu7x/rtVotDx48wNnZuUx9VIQEtEIIIYQQFVDXrgYONZVG6xyslNSxq1HJ\nM9KnVquZOHEiBQUFbNmyhYYNGxrUq9VqgzJA72ivUnXr1sXZ2ZmEhAS98jNnzuDl5QWAh4cHFy9e\npLi4WFd/7tw5ioqK8PT0LFMfFSEBrRBCCCFEBThbW9C8tq3Ruua1bXG2tqjkGenbvHkzSUlJrF69\nGhsbG4P6rl27kpSURFRUFIWFhTx48IBly5bh7OxMmzZtAFi6dCnvvfce8DAlICAggHXr1nH+/HlU\nKhU7duzgxx9/JDAwEIBXX30Vc3Nzli1bRm5uLmlpaXzyySe88sorNGrUqEx9VIScciCEEEIIUUHz\nX23+f6cc5KtwsPq/Uw4qQ/fu3UlNTdWdG9ujRw9MTEzo27cvJ0+e5NatW/j4+Bhcd+7cOTw9PQkP\nD2fNmjWsWLECtVpN69atWbdunS4AvnfvHqmpqbrrxowZQ1FRESEhIWRkZPDiiy/y2Wef6U4tsLGx\nYd26dSxYsID27dtjYWFB586dmTlzZpn7qAgT7aNOzv2b+v2iPk0uLi6VNlZ1IWuiT9bDkKyJIVkT\nfbIehmRN9Bl7QUB1cC+3iFtZBdSxq1HlO7PPItmhFUIIIYT4k5ytLSSQrUKSQyuEEEIIIao1CWiF\nEEIIIUS1JgGtEEIIIYSo1iSgFUIIIYQQ1ZoEtEIIIYQQolqTgFYIIYQQQlRrEtAKIYQQQohqTQJa\nIYQQQghRrUlAK4QQQgghqjUJaIUQQgghRLUmAa0QQgghRDXl7+9PixYtaNWqld7Xb7/9BkBxcTEr\nV66kRYsWhIWFGVx/8eJFRo0aRdu2bfHx8SEkJITk5OTHjrlx40Z69+6Nh4cHvXr1YsOGDXr1ycnJ\nBAcH4+vrS7t27QgODjbo80l9lJcEtEIIIYQQf1JebjG3U/LIyy2u9LHnz5/PuXPn9L5efPFF0tPT\nGTBgANevX8fGxsbgurt37xIYGEjz5s05fPgwO3fupKioiEmTJj1yrO3bt/PZZ58xa9YsTp48ybx5\n8wgLCyMuLg54GECPHTsWW1tbduzYwZ49e7C3t2fMmDEUFxeXqY+KkIBWCCGEEKKCilUadn9zk9gv\nf+XbbUnEfvkru7+5SbFKU9VTIysri5EjR/LZZ5+hVCoN6u/cuUOXLl145513qFGjBg4ODgwZMoRL\nly7x4MEDo31u2rSJN954Ax8fH5RKJV5eXrzxxhts3LgRgKNHj5KUlERoaCgODg7Y2try/vvvk5yc\nzOHDh8vUR0VIQCuEEEIIUUEHdqWQ9Gsu+XlqAPLz1CT9msuBXSmVNoddu3bRq1cvWrduTf/+/dm/\nfz8AjRo1on///o+8rlWrVixatAgzMzNdWXJyMtbW1lhbWxu0V6lUJCYm4u7urlfu7u7O5cuXKSgo\nID4+nvr162Nvb6+rt7Ozo169eiQkJJSpj4qQgFYIIYQQogLycou5d8d4AHbvTkGlpB+4ubnx0ksv\nERUVxeHDh+natSsTJ04kPj6+3H1dvnyZsLAwJk2apBfklsrKykKtVlOrVi29cnt7ezQaDVlZWWRm\nZhrUl7ZJT08vUx8VoajQVUIIIYQQz7jsLJVuZ/aPCvLVZD8opqa1+VOdw+rVq/W+Hz9+PHv37mXr\n1q28/PLLZe7n+PHjTJ48meHDhxMYGFihuZiYmPyp+rK2MUYCWiGEEEKICrC1U2JV08xoUFvDygzb\nWk83mH2U+vXrc+fOnTK337ZtG4sWLWLmzJm8+eabj2xnZ2eHQqEw2EXNzMxEoVBgb2+Po6Oj0V3W\nzMxMnJycytRHRUjKgRBCCCFEBdS0Nsf5+RpG65yfr/HUd2eTk5OZO3cu2dnZeuW//vorDRo0KFMf\n33zzDYsXL2bt2rWPDWYBlEolLVq0ICEhQa/8zJkztGzZEgsLCzw8PEhOTiY9PV1Xf//+fW7evImX\nl1eZ+qgICWiFEEIIISqoc8+6NHjJGquaZpiYgFVNMxq8ZE3nnnWf+thOTk4cOHCAuXPnkpmZSX5+\nPuHh4fz2228MHz78idffvn2bOXPmsHTpUry8vIy2iYqKYsSIEbrvAwMDiY2N5fjx46hUKo4dO0Zc\nXBxBQUEAtG/fHldXVxYuXEhmZiYZGRksWLAANzc3fH19y9RHRUjKgRBCCCFEBZkrTenRtz55ucVk\nPyjGtpb5U9+ZLVWjRg3Wr1/PkiVL6NmzJwUFBTRv3pyoqCheeuklVq1aRUREBPDwhIKIiAgiIyMB\nOHfuHHFxceTn5zNx4kSDvufPn0+/fv3IzMwkKSlJV96rVy+ys7OZNWsWaWlpuLi4MHPmTHr06AGA\nmZkZkZGRzJs3D39/f0xMTPD19SUyMlL3oNmT+qgIE61Wq63w1VUgNTW1UsZxcXGptLGqC1kTfbIe\nhmRNDMma6JP1MCRros/FxaWqpyCqIUk5EEIIIYQQ1ZoEtEIIIYQQolqTgFYIIYQQQlRrEtAKIYQQ\nQohqrVJPOYiKiuLSpUtoNBr69etHo0aNCA8PR6PRYGdnx6RJkzA3r5pDiIUQQgghRPVUaQHt+fPn\nSU5OZuHCheTk5DBt2jRatWpF9+7dadeuHV9++SWHDh2iW7dulTUlIYQQQgjxD1BpKQfNmzfnnXfe\nAaBmzZoUFRVx4cIF3UG+Xl5enD17trKmI4QQQggh/iEqbYfW1NQUS0tLAA4ePIiHhwcJCQm6FANb\nW1uj7/79o8o8n07OwjMka6JP1sOQrIkhWRN9sh6GZE2E+HMq/U1hp0+f5uDBg3zwwQdMnjy53NfL\nixWqjqyJPlkPQ7ImhmRN9Ml6GJI10SfBvaiISj3lID4+ntjYWGbMmIGVlRWWlpaoVCoAMjIysLe3\nr8zpCCGEEEKIf4BKC2jz8/OJiopi+vTpWFtbA9CqVStOnDgBwIkTJ3j55ZcrazpCCCGEENVeeno6\noaGhdOjQAU9PTwYOHMjx48cN2qlUKl577TX8/f31ypOTkwkODsbX15d27doRHBxMcnLyY8fcsWMH\nr7/+Oh4eHnTr1o3ly5ejVqt19RkZGbz33nt07NiRNm3aMHLkSM6fP1+uPsqr0gLaH3/8kZycHJYv\nX86cOXOYM2cO/fv35/Dhw3z44Yfk5ubi5+dXWdMRQgghhKj2QkJCuHv3LnFxcRw/fhxvb29CQkK4\nc+eOXrvPP/+c27dv65UVFxczduxYbG1t2bFjB3v27MHe3p4xY8ZQXFxsdLxTp04xffp0xo0bx8mT\nJwkLC+Pbb78lIiJC12bKlClkZGSwdetWfvjhBzw9PRk9ejSZmZll7qO8TLRarbbCV1cByaH98woL\nNOTlaqhpbYpljbL/TvNPXpOKkPUwJGtiSNZEn6yHIVkTfdU1hzY7O5v09HQcHR2xtbWtlDFzcnL4\n6KOPGD16NI0aNdLNo02bNoSHh9O1a1fg4dGpQUFBBAQEEBsby8GDBwE4dOgQISEh/Pjjj7q0z6ys\nLHx9fVm5ciVdunQxGHPy5MmUlJSwatUqXdnGjRtZtWoVx48f59q1a7z22mts376dZs2aAVBSUkKH\nDh0YP348AQEBT+zD1LT8+62V/lCYqDolxVp+PpFHVoaaokItFpYm2DmY4elTE4W5SVVPTwghhKh2\nioqKiImJISUlhdzcXKytralbty6DBw/GwsLiqY5tY2PDokWL9MpK0wVq164NPEw1CA0NZcqUKdSo\nUUOvbXx8PPXr19d7hsnOzo569eqRkJBgNKCNj49n6NChemXu7u5kZWVx48YN3QlWTZs21dUrFApa\ntGhBQkJCmfp46aWXyrsU8urbZ8nPJ/K4k1pCUeHDTfmiQi13Ukv4+UReFc9MCCGEqJ5iYmK4dOkS\nOTk5aLVacnJyuHTpEjExMZU+l9zcXEJDQ+ncuTOtWrUCHqYa2NvbGwSQAJmZmdSqVcug3N7envT0\ndKNjZGRkGFxTGhBnZGTo6k1M9DfK7OzsdH0+qY+KkB3aZ0RhgYasDOPJ1lkZagoLNOVKPxBCCCGe\nddnZ2aSkpBitS0lJITs7u9LSD27dukVwcDBOTk58+umnAJw7d47o6Gji4uIMAswnKW/7quqzlEQw\nz4i8XI1uZ/aPigq15OVqKnlGQgghRPWWnp5Obm6u0brc3NwK7zaW19mzZxkwYACtW7cmMjISKysr\nvVSDevXqGb3O0dHR6EutMjMzcXJyMnqNk5OTwTWlD3s5Ozvj6OjIgwcP+OMjWllZWbo+n9RHRUhA\n+4yoaW2KhaXx34wsLE2oaS0/CkIIIUR5ODo66o4i/SNra2scHBye+hyuXLnC2LFjGTduHHPmzNG9\ngTU+Pp6rV68SFhaGt7c33t7ezJ8/n9u3b+Pt7c2ZM2fw8PAgOTlZL73g/v373Lx5Ey8vL6Pjlb7p\n9ffOnDmDs7Mz9evXx8PDg+LiYi5cuKCrV6lUnDt3Ttfnk/qoCIlinhGWNUyxtTP+z21rV77TDoQQ\nQggBtra21K1b12hd3bp1n3q6gVqtZvr06QwYMIDAwEC9updffpnDhw/zzTff6L7efvttnnvuOb75\n5htatWpF+/btcXV1ZeHChWRmZpKRkcGCBQtwc3PD19cXgH379tGjRw/dGbEBAQEcPXqUnTt36gLV\n9evXExQUhImJCY0aNaJjx44sXryYO3fukJuby6effoqFhQWvvvpqmfqoCIlininGf0hMHlEuhBBC\niMcbPHgwzZo1w8bGBhMTE2xsbGjWrBmDBw9+6mP/8ssvXLhwgQ0bNtCqVSu9r3nz5lG7dm29L1tb\nW8zMzKhduzZKpRIzMzMiIyMpKCjA39+fLl26UFJSQmRkJGZmZsDDo8F+++03XQrByy+/zLJly1i1\nahWenp5MmjSJESNGMGrUKN28li5dygsvvMCrr75Khw4duHr1KuvXr9ftZpelj/KSc2gf4Z92LmBh\ngYYje3OM5tFaWJrQsZvNE3dp/2lr8mfJehiSNTEka6JP1sOQrIm+6nwObUZGBg4ODpX2IJj4P3LK\nwTOiLA+FSdqBEEIIUTG2trYSyFYhiWCeEfJQmBBCCCH+qSSKeUZY1jDFzsHMaJ2dg5nszgohhBCi\n2pIo5hni6VOT510Uup1aC0sTnndR4OlTs4pnJoQQQghRcZJD+wxRmJvQ9v9ZU1igIS9XQ01rOa5L\nCCGEENWfBLTPIMsaEsgKIYQQ4p9DohohhBBCCFGtSUArhBBCCCGqNQlohRBCCCFEtSYBrRBCCCGE\nqNYkoBVCCCGEENWaBLRCCCGEENVUeno6oaGhdOjQAU9PTwYOHMjx48cN2qlUKl577TX8/f0f2dea\nNWto0qQJJ0+efOyYGzdupHfv3nh4eNCrVy82bNigV5+cnExwcDC+vr60a9eO4OBgkpOTy9VHeUlA\nK4QQQgjxJ2mLMtE+uIy2KLNSxw0JCeHu3bvExcVx/PhxvL29CQkJ4c6dO3rtPv/8c27fvv3Ifq5e\nvcrGjRufON727dv57LPPmDVrFidPnmTevHmEhYURFxcHQHFxMWPHjsXW1pYdO3awZ88e7O3tGTNm\nDMXFxWXqoyIkoBVCCCGEqCCtupCS8ytQ/zIbdcJHqH+ZTcn5FWjVhU997JycHBo1asSMGTNwdnbG\nwsKCsWPHkp+fz9mzZ3Xtzp8/z5dffklgYKDRftRqNdOnT2fs2LFPHHPTpk288cYb+Pj4oFQq8fLy\n4o033tAFw0ePHiUpKYnQ0FAcHBywtbXl/fffJzk5mcOHD5epj4qQgFYIIYQQooLUl1ZDxi+gegBo\nH/6Z8cvD8qfMxsaGRYsW0ahRI11Z6Uf7tWvXBh6mGoSGhjJlyhRcXFyM9rN27VoUCgUBAQGPHU+l\nUpGYmIi7u7teubu7O5cvX6agoID4+Hjq16+Pvb29rt7Ozo569eqRkJBQpj4qQgJaIYQQQogK0BZl\nQu6vxitzf6v09IPc3FxCQ0Pp3LkzrVq1Ah6mGtjb2zN06FCj11y5coW1a9eyaNEiTE0fHxZmZWWh\nVqupVauWXrm9vT0ajYasrCwyMzMN6kvbpKenl6mPipBX3wohhBBCVEThXVBlG69TZUPhPbCwN17/\nF7t16xbBwcE4OTnx6aefAnDu3Dmio6OJi4vDxMTE4JqSkhKmT59OcHCw3i5vRRkbozz1ZW1jjOzQ\nCiGEEEJUhOVzoLQ1Xqe0BUvnSpnG2bNnGTBgAK1btyYyMhIrKyu9VIN69eoZva401WDUqFFlGsfO\nzg6FQmGwi5qZmYlCocDe3h5HR0eju6yZmZk4OTmVqY+KKHNA+/uchqKiIs6cOUNqamqFBhVCCCGE\nqO5MLOzB+iXjldYvPqx/yq5cucLYsWMZN24cc+bMwdzcHID4+HiuXr1KWFgY3t7eeHt7M3/+fG7f\nvo23tzdnzpxh27ZtXL16FV9fX10beHhywvz58w3GUiqVtGjRgoSEBL3yM2fO0LJlSywsLPDw8CA5\nOZn09HRd/f3797l58yZeXl5l6qMiypRycObMGcLCwtiwYQMlJSXMmDGDO3fuoNFomDx5Mj4+PhUa\nXAghhBCiOjNrFvzwAbDc3x6mGShtwfpFzJoFP/WxS08nGDBggMEJBi+//LLuVIFSu3fvZv369WzZ\nsgUHBwe2bNmCWq3Wa+Pn58eCBQvw9fUFICoqij179rB582YAAgMDmTlzJl26dKF169acPn2auLg4\nPv74YwDat2+Pq6srCxcuZNasWWi1WhYsWICbm5uuzyf1URFlCmi3bdumW6gTJ06Qn59PZGQkV65c\nISYmRgJaIYQQQjyTTMwsUbSc8vABsMJ7YOlcKTuzAL/88gsXLlzgypUrBkde9e3blwULFuiV2dra\nYmZmpjsBwdnZeEqEg4OD7qGtzMxMkpKSdHW9evUiOzubWbNmkZaWhouLCzNnzqRHjx4AmJmZERkZ\nybx58/D398fExARfX18iIyMxMzMrUx8VYaLVarVPahQQEMD69esxNTVl5cqV2NnZMXLkSLRaLUFB\nQX/67Q7lUVlpDi4uLpJS8QeyJvpkPQzJmhiSNdEn62FI1kTfo46WEuJxypRDq1AoUKvVaDQaLly4\nwL/+9S/g4dsgyhAPCyGEEEII8dSUKeWgcePGrFu3DjMzMzQaDS1atABg//79j3xyTgghhBBCiMpQ\nph3aoKAg7t69y/Xr15k4cSIKhYLs7Gy2bNnCsGHDnvYchRBCCCGEeKQy7dA+//zzzJo1S6/M1taW\nNWvWYGlp+VQmJoQQQgghRFmUaYe2sLCQrVu36r4/dOgQ06dPZ+3ateTm5j61yQkhhBBCCPEkZQpo\nN2zYwLlz54CHr1aLjIzE3d2dvLw8Nm3a9FQnKIQQQgghxOOUKeXg559/1h12e+zYMdzd3Rk6dCg5\nOTlMnTr1qU5QCCGEEEKIxynTDm1BQQEODg4AnDt3jtatWwNgY2NDXl7e05udEEIIIYQQT1CmgNbB\nwYGbN2+SlpbGtWvXePnll4GHLzmoWbPmU52gEEIIIYQQj1OmlINu3boxc+ZMANq0acNzzz1Hfn4+\ny5cvl9feCiGEEEKIKlWmgLZ37940atSI/Px83N3dAbCwsMDb25t+/fo91QkKIYQQQgjjrl69ytKl\nS/nll1/Iz8/H1dWVCRMm0KVLF712WVlZvPrqq7z44ots3rzZaF8ffvghW7Zs4cCBA9StW9doG7Va\nzcqVK9m9ezd3796lQYMGjB49mtdee03X5vz583z66adcunQJc3Nz2rZtywcffKBLXy1LH+VVppQD\ngKZNm+Lm5sbNmzf59ddfKSoq4s0330ShKFNMLIQQQggh/kIFBQUMHz6c+vXrc+DAAc6cOUO3bt2Y\nPHky165d02u7YMECCgsLH9nXsWPH2Llz5xPHjIiIYPv27SxbtoyTJ08yceJEQkNDOXnyJPAwcB4z\nZgwtW7Zk//79bN++nezsbN5+++0y91ERZQpo8/Ly+OSTTxgzZgyhoaGEhoYyevRowsLCKC4urvDg\nQgghhBD/BLmF90nJPEtu4f1KG7OgoIB///vfvPPOO1hbW6NUKhk+fDhqtZorV67o2u3fv59Tp07x\n5ptvGu0nNzeXDz74gAkTJjx2PK1WS3R0NEFBQbRo0QKlUkmXLl3w8/PTHeO6Y8cOtFotU6ZMwcbG\nBlqdEvoAACAASURBVCcnJ/79739z6tQpEhMTy9RHRZRpe3Xjxo3cu3ePyZMnU7duXbRaLTdv3iQu\nLo5t27YxdOjQCk9ACCGEEKK6UpUUsOv8Qu48uEyeKpOaSnuer9WEni1nolTUeKpjOzg4MGDAAN33\nmZn/n707j4+qvBc//jmzb0kmM9khJGwBZVGQsii41mpd6lKtFvW2tait1dpf1arXtj/Fem9dsFqX\n3irFFcR6f7fuS9X22rpQWxEQkB0SIfsySWbPLL8/hgTCTIYhOTPDDN/36+VLOCec5zlnJjPf85zv\n8326ePzxx6moqGDevHlAbMT0jjvu4O6772bdunUJj3PPPfcwffp0Tj/99IEyrYk0NDTQ2dk5kH7a\nb/r06QNpDGvWrGHKlCmDnuBPmjQJo9HImjVrMJvNBz3GcKQU0H722WfcfffdlJWVDWyrqalh/Pjx\n/PrXv5aAVgghhBBHpDfX382Oto8H/u4JdrKj7WPeXP8fnHfsXRnrx9SpU+nr62PatGksW7aM4uJi\nAO666y7mz5/PSSedlDCg/eCDD3j33Xd5/fXX8Xq9Sdvo7OwEoKioaND24uLigX1dXV1x+xVFoaio\niI6OjpSOMRwpBbTBYBCn0xm3vaKigu7u7mE3LoQQQgiRq9z+dlq6Nyfc19K9Gbe/HZupJCN9Wb9+\nPZ2dnSxfvpyFCxeycuVKtm/fzieffMLrr7+e8N/0pxr84he/wOFwHDSgTUZRlBH/TCrHGEpKObQV\nFRX861//itv+ySefDBq1FUIIIYQ4Urh8jXiCXQn3eYNddPuaMtofh8PB9ddfT3l5OY8//jh33HEH\nixcvprCwMOHP//rXv2b69OmcddZZKR2/pCQWnLtcrkHbu7q6BgY+nU5n3P5oNEp3dzelpaUpHWM4\nUhqhPf/883nwwQc57rjjBso41NfX89lnn/GDH/xg2I0LIYQQQuQqu7kKq6EYTzD+UbnFUEyRuTKt\n7b/33nvcfffdvPnmmxiNxoHtwWCQf/zjH7S3t3PrrbcObPf7/YRCIebMmcNLL73Eiy++iM1mY86c\nOUAs8AS48MILueqqq7jqqqsGtTd69GhKS0tZu3btwKqxAJ9++imzZs0CYMaMGTz44IP09fWh1+uB\n2CqzgUCAmTNnpnSM4UgpoJ03bx42m4233nqLf/7zn/T19VFZWcnNN988qDNCCCGEEEcKm6mE8qJJ\ng3Jo+5UX1aU93WDGjBn4fD4WL17MzTffjNlsZuXKlTQ0NPDcc89RVVU16OeffPJJ1qxZw0MPPURp\naSnvv//+oP3Nzc1ccsklPP7440yYMAGAJUuW0NjYyJIlS1AUhe985zssW7aM2bNnU1dXx5///Gc+\n+ugjVqxYAcA555zDo48+ygMPPMCPfvQj3G439957LyeffDLjx48HOOgxhiPlIrLTpk1j2rRpw25I\nCCGEECLffH3q7XurHGzBG+zCYiimvKiOr0+9Pe1tOxwOnnnmGe655x5OOeUUNBoN48aN45FHHmHm\nzJlxP99f2quiogJg4P/9QqEQEEstsNlsALS1tdHY2DjwM4sWLSIQCHDttdfS2dnJ2LFjeeihhwaq\nFhQUFLBs2TJ+9atfccIJJ2A0GjnttNMGVpxN5RjDoUT7x5eHadGiRSxdunQkhzgk+1/UdKqqqspY\nW7lCrslgcj3iyTWJJ9dkMLke8eSaDHbgqGKucPvb6fY1UWSuzNhEMLHPiJf58vl8avRDCCGEECJn\n2UwlEshmUcpL3w5lJCUWhBBCCCGEGKkRB7RCCCGEEEJkkwS0QgghhBAipyXNob3zzjsPeoD+GXFC\nCCGEEEJkQ9KA1uFwHPQAJ5xwgmqdEUIIIYQQ4lAlDWivv/76TPVDCCGEEEKIYZEcWiGEEEIIkdMk\noBV5xe+L0NEWwu+LZLsrQgghhMiQES+sIMThINQXZfUqD67OMAF/FKNJwe7QMnOuFZ1eaiULIYQQ\n+UxGaEVeWL3KQ0tjiIA/tpJzwB+lpTHE6lWeLPdMCCGEEOkmAa3IeX5fBFdnOOE+V2dY0g+EEELk\nra1bt/KDH/yAOXPmMG3aNC644ALeffddANxuN4sXL+bkk09mxowZnHnmmSxdunTQv//www+59NJL\nmTVrFqeccgq//OUv8fl8Q7YXDof5zW9+wxlnnMGMGTM4//zzefXVVwf9zPr16/nud7/LnDlzmD9/\nPj/96U/p7Ow8pGMcqpRSDnbs2MGyZcuor68nGAzG7X/hhRdG1AkhRsLjjgyMzB4o4I/icUcwmeXe\nTQghRBr5/eD1gcUMJlNGmvT5fFx++eWcd9553H///RgMBv7whz/w4x//mFdeeYXf//73bNy4kaee\neorq6mr++c9/cs0111BcXMw3v/lNdu3axQ9+8AN+9rOfcdFFF9He3s4NN9zA4sWL+c///M+Ebf7u\nd7/jpZde4rHHHmPixIn87W9/4yc/+QllZWXMmTMHl8vFokWLuOiii3j44YcJBALceuut3HDDDTz7\n7LMpHWM4Ugpof//732O1Wlm4cCFGo3FYDYkjk98XweOOYLVp0hZUWm0ajCYlYVBrNClYbRLMCiGE\nSJNQCNasg+5uCATBaICiIjh2OujSO1XJ5/Nx0003cc4552A2mwG4/PLLefDBB9myZQvr16/n1FNP\npba2FoC5c+cyadIk1q1bxze/+U1eeOEFxo0bxxVXXAFAdXU11157LTfccAM333xz3HoE0WiU5cuX\nc8011zBlyhQAvvrVr3LSSSfxzDPPMGfOHF577TWi0Sg/+clP0Ol0FBQUcNNNN3HeeeexadMmJk2a\ndNBjDEdKV7qxsZGlS5eOOJhtaGjgvvvu4+yzz+bMM8/k0UcfZceOHRQUFADwjW98g5kzZ46oDXF4\nyOQkLZNZg92hpaUxftU6u0Mro7NCCCHSZ806aG3b9/dAMPb3NetgVnpjGofDwcUXXzzw966uLh5/\n/HEqKiqYN28eW7Zs4a233uLCCy9k7NixfPrpp2zdupUbbrgh1vU1a5g+ffqgY06fPp1QKMSGDRtY\nsGDBoH0NDQ10dnYm/Df9o69r1qxhypQp6PYL5idNmoTRaGTNmjWYzeaDHmM4Ugpoy8vL6evrG1FA\n6/f7efLJJ5k6deqg7QsXLuS4444b9nHF4al/kla//SdpzV5gU729mXOtQwbQQgghRFr4/bGR2US6\nu2P7M5R+MHXqVPr6+pg2bRrLli2juLiYG264gcbGRs466ywURUGn03HTTTcNrPLa2dlJUVHRoOMU\nFxcD0NHREddGfx5son/Tv6+rqytuv6IoFBUV0dHRkdIxhiOlgPY73/kOy5Yt41vf+hYVFRXDakiv\n13Pbbbfx0ksvDevfi9yRyiQttUdNdXqF2QtsGUlxEEIIIYBYzmwgfm4RENvu9WUsoF2/fj2dnZ0s\nX76chQsXsnLlSp599lk2b97Mq6++Sk1NDatXr+YnP/kJRUVFXHDBBUmPpyiH9jQ1lZ8/2M8capv7\nSymgffTRR+nt7eXDDz9MuD+VSWFarRatVhu3/a233uK1116jqKiIK6+8ksLCwlS6JA5j2ZykZTJL\nICuEECJDLOZYzmyioNZoiO3PIIfDwfXXX88777zDypUref7551myZAl1dXUAzJs3j3PPPZfnnnuO\nCy64gJKSElwu16BjdHV1AVBaWhp3/JKSEoCE/8bpdALgdDppa2sbtD8ajdLd3U1paWlKxxiOlALa\nb33rW8NuIJkTTzyRgoICamtreemll3jxxRf5/ve/n/TfVFVVpaUv2W4rV6RyTYoK+1jzjx14PfGj\ntBarlnHjK7Ha9OnoXsbJeySeXJN4ck0Gk+sRT65JjjKZYhPAWtvi9xUVpX109r333uPuu+/mzTff\nHJQW2l+RKhqNEokMLl0ZCoWIRmODTjNmzOD9998ftP/TTz/FYDAwbdq0uPZGjx5NaWkpa9euHZQu\n+umnnzJr1qyBYz744IP09fWh18e+6z///HMCgQAzZ85M6RjDkVJAe+qppw67gWT2v1izZs3iiSee\nOOi/aWxsTEtfDlRVVZWxtnLFoVyTgiIFb4I1DQqKFLp72ujuUblzWSDvkXhyTeLJNRlMrkc8uSaD\n5Vxwf+z0oascpNmMGTPw+XwsXryYm2++GbPZzMqVK2loaODrX/8627Zt4w9/+ANTpkyhurqaNWvW\n8MYbb3D11VcDcOmll/Lcc8/x1FNPcemll9LY2MjDDz/MxRdfPDBhf8mSJTQ2NrJkyRIURRlIQ509\nezZ1dXX8+c9/5qOPPmLFihUAnHPOOTz66KM88MAD/OhHP8LtdnPvvfdy8sknM378eICDHmM4Uq4n\n8frrr/O///u/tLS0oCgKVVVVnH766SMKdu+//36uuOIKysvL2bBhA9XV1cM+lji89E/S6uoIEwxE\nMRgVip0ySUsIIUSe0eli1QyyUIfW4XDwzDPPcM8993DKKaeg0WgYN24cjzzyCMceeyz33XcfDz74\nIFdeeSXt7e2UlJSwaNEivve97wGxEdcnnniCe++9lyVLllBYWMg555zDjTfeONBGW1vboBuuRYsW\nEQgEuPbaa+ns7GTs2LE89NBDA1ULCgoKWLZsGb/61a844YQTMBqNnHbaadx+++0pH2M4lGj/uHMS\n//M//8PLL7/MggULGD16NJFIhIaGBj788EO+//3vc/LJJx+0oR07dvDMM8/Q1taGVqvF4XBw5pln\n8vLLL2MwGDCZTFx77bVxs94OJCO02XMo16S/bFdXR4hgAAxGKHbq0lK2K1vkPRJPrkk8uSaDyfWI\nJ9dksJwboRWHhZRGaP/yl79wyy23cPTRRw/afvzxx/Pss8+mFNCOGzeOO+64I2773LlzU+qoyC0H\nlu0KBkhr2S4hhBBCHLlSmg7ucrmYPHly3PapU6fS2tqqeqdEbkulbJcQQgghhFpSCmhLSkqor6+P\n215fX3/QFAFx5EmlbJcQQgghhFpSSjmYP38+999/P+eccw6jR48mGo3S0NDAa6+9xvz589PdR5Fj\nrDYNRpOSMKg1mhSsNqkTK4QQQgj1pBTQXnDBBYRCIf74xz/i9XoBMJlMnHbaaVx66aVp7aDIPSaz\nBrtDOyiHtp/doZWFD4QQQgihqpQCWq1Wy6WXXsqll15Kb28vfX192O12NBoJTERi/WW7XJ1hAv4o\nRpOC3SFlu4QQQgihviED2k2bNg1MBNu4cWPc/ubm5oE/H1j9QAidXmH2Aht+XwSPO4LVJkvSCiGE\nECI9hgxo77rrLpYvXw7AnXfemfQgL7zwgrq9EnnDZJZAVgghhBDpNWRA+5vf/Gbgzw899FBGOiOE\nEEIIIcShGnLorKysbODPf/7zn6moqIj7r6ioiBdffDEjHRVCCCGEECKRpM+CvV4v7e3tvP3227S3\nt8f9t3nzZlatWpWpvgohhBBCCBEnaZWD999/n6effppoNMqPfvSjhD8jE8KEEEIIIUQ2JQ1ov/71\nrzN//nyuueYabrvttrj9RqOR8ePHp61zQgghhBBCHMxB69AWFBTw61//mjFjxiTcv2zZMq688krV\nOyaEEEIIIUQqUlpYYcyYMWzatIlt27YRDAYHtre3t/P3v/9dAlohhBBCCJE1KQW0b731Fk8++SRW\nqxWPx0NBQQG9vb2UlJRwySWXpLuPQgghhBBCDCmlivdvvvkmt9xyC8uWLUOn07F06VJ++9vfUlNT\nw9SpU9PdRyGEEEIIIYaUUkDb2dnJzJkzAVAUBYDy8nK+/e1v88QTT6Svd0IIIYQQQhxESgFtYWEh\n7e3tAFgsFpqamgCorKykoaEhfb0TQgghhBDiIFIKaOfNm8ftt9+O1+tl6tSpPPjgg7z11lv87ne/\no6SkJN19FEIIIYQQYkgpBbQLFy7krLPOwmQy8Z3vfAej0cjTTz/N9u3bueqqq9LdRyGEEEIIIYaU\nUpUDjUbDeeedB0BRURGLFy9Oa6eEEEIIIYRI1ZAB7QcffJDyQebPn69KZ4QQQgghhDhUQwa0Dz/8\ncGoH0OkkoBVCCCGEEFkzZED73HPPDfx57dq1vPvuu3zzm9+kurqaSCRCQ0MDL730EmeeeWZGOiqE\nEEIIIUQiQ04K0+v1A/+tWLGCH/7wh0ycOBGTyYTFYmHy5MlcffXVPP3005nsrxBCCCGEEIOkVOWg\nvb0dk8kUt91isQzUpxVCCCGEECIbUgpox4wZw3/913+xZ88egsEgoVCIpqYmli5dSnV1dbr7KIQQ\nQgghxJBSKtt19dVXc9999/HTn/500PbCwkJuu+22tHRMCCGEEEKIVKQU0I4ZM4bf/va3bN26lfb2\ndkKhEE6nk7q6OvR6fbr7KIQQQgghxJBSCmgBFEWhrq6Ourq6dPZHCCGEEEKIQzJkQHv55ZcPlO66\n5JJLkh7khRdeULdXQgghhBBCpGjIgHbRokUDf7766qtRFCUjHRJCCCGEEOJQDBnQnnzyyQN/Pu20\n0zLRFyGEEEIIIQ7ZkAHtY489ltIBFEXhhz/8oWodEmIk/L4IHncEq02DyZxSVTohhBBC5LghA9rm\n5uaUDiCpCOJwEOqLsnqVB1dnmIA/itGkYHdomTnXik4v71EhhBAinw0Z0C5evDilA2zevFm1zggx\nXKtXeWhpDA38PeCP0tIYYvUqD7MX2LLYMyGEEEKk2yE9k3W73XR2dg78t2XLFu6+++509U2IlPh9\nEVyd4YT7XJ1h/L5IhnskhBBCiExKqQ7trl27WLJkCa2trXH7pC6tyDaPO0LAH024L+CP4nFHJJ9W\nCCGEyGMpfcs/9dRT1NXVcfPNN6PVarnlllu48MILmTJlCv/+7/+e7j4KkZTVpsFoSpwnazQpWG0S\nzAohhBD5LKVv+vr6eq655hpmzZqFRqNh5syZXHLJJXz1q1/lmWeeSXcfhUjKZNZgd2gT7rM7tDI6\nK4QQQuS5lL7ptVotGk3sR3U6HV6vF4CvfOUr/OMf/0hf74RI0cy5VsqrdAMjtUaTQnmVjplzrVnu\nmRBCCCHSLaWAdvz48TzxxBMEg0Gqq6t56aWX8Pv9rF+/Xsp2icOCTq8we4GNE79WwPGnxv4/e4FN\nSnYJIYQQR4CUJoVdccUVLFmyhEgkwgUXXMD999/Pyy+/DMD555+f1g4KcShMZllQQQghhDjSpBTQ\njh49mt/85jcAzJw5k/vuu48dO3ZQXl4uVQ6EEEIIIURWJR3Kuvvuu1m9enXc9lGjRrFgwQIJZoUQ\nQgghRNYlHaGNRCLcc889lJWVcfrpp3Pqqadis8mqS0IIIYQQ4vCRNKD9xS9+QVNTE++++y6vvPIK\nL774IscffzxnnnkmY8eOzVQfhRBCCCGEGNJBc2grKyu54oor+Pa3v82qVat45513uPXWW5k4cSJn\nnHEG8+bNQ6dLKRVXCCGEEEII1aUciep0OubPn8/8+fPZvXs377//PitXruTZZ5/l8ccfT2cfhRBC\nCCGEGNKw6xtFIhEikYiafRFCCCGEEOKQpTxCGwqF+Pjjj3nnnXfYvHkzdXV1XHbZZcydOzed/RNC\nCCGEECKpgwa0TU1NvPPOO7z//vsEAgFOOOEEvve978mkMCGEEEIIcVhIGtDeeeedbNy4kdLSUs47\n7zwp2yVEFvl9ETzuCFabrIYmhBBC7C9pQKvT6bj55ps57rjjUBQlU30SQuwn1Bdl9SoPrs4wAX8U\no0nB7tAyc64VnV5+L4UQQoikAe3tt9+eqX4IkXM87j462kJpHzFdvcpDS2No4O8Bf5SWxhCrV3mY\nvUCemAghhBBSQFaIQ9Q/Ytrb3YvXE07riKnfF8HVGU64z9UZxu+LSPqBEEKII558EwpxiPpHTL2e\nWKC5/4ip2jzuCAF/NOG+gD+Kxy2l84QQQggJaIU4BKmMmKrJatNgNCUe9TWaFKw2+RUWQggh5NtQ\niEOQ6RFTk1mD3aFNuM/u0Eq6gRBCCIEEtIeFqKuD6JYNRF0d2e6KOIhsjJhOn2XBaDygLWNsuxBC\nCCFkUlhWRf0+IkuXwK6t0OOCQjvUTkSz6EYUkznb3RMJ9I+Y7l91oF+6RkzX/ctLIDB4WyAQ2y5V\nDoQQQggZoc2qyNIlsPYT6O6CaDT2/7WfxLaLw9bMuVbKq3RYrLFUAKNJobxKx8y5VtXbynTOrhBC\nCJGLZIQ2S6KuDti5JfHOnVuIujpQ7M7MdkqkRKdXmL3ARlFhKTu2N6W1Dm0qObuSRyuEEOJIJ9+E\n2dLaHEszSKTHBW0tme2POGRWmx5nqS6tAeWRUuXA74vQ0RaSEWchhBDDIiO0WRI1GkFRYqkGB1IU\nogYDsqipyEbObibJsr5CCCHUkNvfhjlMCQQSB7MA0ShKMJjZDonDVn/Obv9IbTpzdjOtf5GK/rSK\ndC5SIYQQIn9ldIS2oaGB++67j7PPPpszzzyT9vZ2HnnkESKRCHa7neuvvx69Xp/JLmVPWUWsqkGi\ntINCO5SWZ75P4rDUn7Pr90XwuCNpzdnNJFnWVwghhFoy9m3h9/t58sknmTp16sC2P/7xj5xxxhks\nXryYiooK/vrXv2aqO1mn2J0wti7xzrF1MiFMxDGZNWnP2c0kWdZXCCGEWjL2zajX67ntttsoLi4e\n2LZhwwZmzZoFwKxZs1i3bl2munNY0Cy6EY6ZDUXFoNHE/n/M7Nh2IfLckTLhTQghRPplLOVAq9Wi\n1Q5ewjMQCAykGBQWFuJyDTHrfz9VVVVp6V/W2vqPxwh3tBFq3oOuYhRaZ2n62xyBTF7/XCDXI96h\nXJMtVQ3U73DHba+osjJu/Gg1u5VV8j4ZTK5HPLkmQoxMzlU5aGxszEg7VVVVGWsLgOIyCPRBJts8\nRBm/Joc5uR7xDvWaHH2sFr9fF1fl4OhjtXlzbeV9Mphcj3hyTQaT4F4MR1YDWpPJRDAYxGAw0NnZ\nOSgdQaRP1NURq4NbViG5uiKr8nXCmxBCiMzKakA7bdo0Vq1axYknnsiqVas49thjs9mdvBf1+2LL\n6u7aGquuUGiH2oloFt2IYjJnu3viCGYySyArhBBi+DIW0O7YsYNnnnmGtrY2tFotq1at4sc//jGP\nPvoo7777LiUlJZx00kmZ6s4RKbJ0Caz9ZN+G7i5Y+wmRpUvQXvfz7HVMCCGEEGIEMhbQjhs3jjvu\nuCNu+y9+8YtMdeGIFnV1xEZmE9m1lairQ9IPhBBCCJGT5BnfkaK1OfEiDgC93dDWktn+CCGEEEKo\nRALaI0X/ymSJFBTJymRCCCGEyFk5V7YrU1YsvR9HYQdt3Q5OO/uybHdnxBS7E2onDs6h7Vc7UdIN\nhBBCCJGzJKA9wAfvvMNXSnv5RlUtFqbgtXloW/M//LOtgPmnn57t7o2IZtGN+6oc9HbHRmb3VjkQ\nQgghhMhVEtAe4CulvYxl4sDfbRRgowBKh5hQlUMUkxntdT+PTRBra4HSchmZFUIIIUTOkxza/bz3\n+nJKqUi4r5QK3nt9eYZ7lB6K3Yky8WgJZsVhw++L0NEWwu+LZLsrQgghcpCM0O6ntKgTC1MT7jNj\nobSoK8M9EiK/hfqirF7liVv6duZcKzq9ku3uCSGEyBEyQruftm4HXjwJ9/nw0tYtS/MKoabVqzy0\nNIYI+KMABPxRWhpDrF6V+PdQCCGESEQC2v2cdvZltNGccF8bzXlR7UCIw4XfF8HVGU64z9UZlvQD\nIYQQKZOA9gD/bCtgJ1tx00uYMG562clW/tlWkO2uCZFXPO7IwMjsgQL+KB63BLRCCCFSIzm0B+gv\nzfXKGytwFHbS1l3MaWdfxvws90uIfGO1aTCalIRBrdGkYLXJ/bYQQojUSEA7hIWLbqKxsTHb3RAi\nb5nMGuwOLS2Nobh9docWk1kCWiGEEKmRbwwhRNbMnGulvEqH0RSraGA0KZRX6Zg515rlngkhhMgl\nMkIrhMganV5h9gIbfl8EjzuC1aaRkVkhhBCHTAJaIUTWmcwSyAohhBg++QYRQgghhBA5TQJaIYQQ\nQgiR0ySgFULE8fsidLSFZHEDIYQQOUFyaIUQA0J9UVav8uDqDBPwRzGaFOwOLTPnWtHplWx3Twgh\nhEhIRmiFGCaPuy/vRjFXr/LQ0hgaWOwg4I/S0hhi9SpPlnuWXTJiLYQQhzcZoRXiEPWPYvZ29+L1\nhPNmFNPvi9DVEb/IAUBXRyyYO9IqEfS/1l0dIYIBMBih2KnL+ddaCCHyzZH17SSECvpHMb2eMJA/\no5ged4RgIPG+YCC2/0jzr4/ctDSGBq5LMAAtjSH+9ZE7ux0TQggxiAS0QhwCvy+CqzOccJ+rM5zT\nj6S1B3lec7D9+cbvi9Demvi1bm/N7ddaCCHyjQS0QhwCjzsykF96oIA/mtOjmOHE2QYp7883XR0h\nokO8nNEIQ6ZnCCGEyDwJaIU4BFabBqMpce6k0aRgteXur5TVpsFozJ1zy+eJWvl8bkIIkQ5H2ENE\nARB1dUBrM5RVoNid2e5OTjGZNdgdWloa40fn7A5tTk+aMpk12J2H/7llqrRYsVOHRgORBDGlRhPb\nrzYpmyaEEMMjAe0RJOr3EVm6BHZthR4XFNqhdiKaRTeimMzZ7l7OmDnXurfKQTSuykGu6z+3RAHV\n4aJ/Ul6//SflzV5gU60dk1mDs0xHW3N8gO8s06UlwM/UuQkhRL6RgPYIElm6BNZ+sm9Ddxes/YTI\n0iVor/t59jqWY3R6hdkLbBQVlrJjexNWm+awGb0cqf5z8/sieNyRw+7cUpmUp2Z/Zx1v3Vu2K0ww\nEMVgVCh2pifAz/S5CSFEPpGA9ggRdXXERmYT2bWVqKtD0g8OkdWmx1man79CJvPhFcj2S2VSnpr9\nzmSAn+lzE0KIfCKfjkeK1uZYmkEivd3Q1pLZ/ggxDNmalGcya3CWpifNoJ/VpkEzxOE1Gg67SXnD\nlY8r7Akhsi8/h5dEvLKKWM5sd1f8voIiKC3PfJ+EOET5PCkPIPH47NDbc0m+rrAnhDg85PanbnN1\nZgAAIABJREFUv0iZYndC7cTEO2snSrqByBkz51opr9INjNQaTQrlVbrDauLacHjckaR1b3O5xjHk\n7wp7QojDg4zQHkE0i27cV+Wgtzs2Mru3yoEQueJwn7g2XP3pFInyaA/HOsCHQia8CSHSTQLaI4hi\nMqO97uexCWJtLVBaLiOzImcdrhPXhiuf0ylkwlvuy7cbSJF/JKA9Ail2J0ggK3JcPn7B5kId4OHo\nX4UuEMi/0ed8J4t9iFwhAa0QIqfk8xdsvqZTxM5hiKlt0WhenGO+ksU+RK6QTxEhRE7p/4Ltf4Sd\nj5OLMlEmLJP8vkjSCg5SwuvwlErusxCHi/z4tBRCHBHkCzY3edwRgoHE+4KB3K/g0M/vi+RVjd1U\ncp+FOFxIyoEQImfI5KLclM8VHGBfGkxXR4hgAAxGKHbqcj4NJt9fN5Ff5N0ohMgZ2VopTIxMfwWH\nRHK9ggPAvz5y09IYGhiFDgagpTHEvz5yZ7djI5Tvr5vIL/JuFELkDPmCzV39C2JYrLHXL18WxPD7\nIrS3Jk6DaW/N/TSYfF3IROQfSTkQQuSUfC1tle/6KzgUFZayY3tT3lRw6OoIJV3hrasjROVoQ2Y7\npaL+183VFaKrPUxxiRZ7sYQO4vAj70ohRE7J19JW2ZLp62i16XGWyldPrsjnMnkiv8inihAiJ+Xb\nSmGZdiQEKpkI1oudOjQaiCQYpdVoYvtzmdShFbkit3/ThBBCDEs+ByqZDNZNZg3OMh1tzfFLFjvL\ncruWcCpl8nL5/ER+kXeiEEIcYfK9nm+mF9+YdXxs4pTBGAuWDcbYxKlZx+d2XrfUoRW5REZoRVpF\nXR3Q2gxlFSh2Z7a7I4Qgv+v5ZmNUMRt53ZmYpCV1aEUukYBWpEXU7yOydAns2go9Lii0Q+1ENItu\nRDGZ09euBNA5SV63zLLaNEnzPnM5UMlmsJ6JvG6/L8Lf3u4hsN/Ka0YjnHhGoept95fJ2z81pZ+U\nyROHGwloDwP19fXs2rWL2tpaampqst0dVUSWLoG1n+zb0N0Faz8hsnQJ2ut+rnp72QqgxcjI65Y9\niUO+obfninwO1oG4YBYgEIC//bmHr51nV709KZMncoUEtFnkcrl47rnniOz95F27di0ajYbLL78c\nu139D6ZMibo6YgFKIru2EnV1qD4Kl+kAWqhDXrfs8LgjSWun5nLKAeRvsO7qCsUFs/0C/th+tdMP\npEyeyBXyrsyi/YPZfpFIhOeeey5LPVJJa3NstC2R3m5oa1G1uairA3ZuSbxz55bYfnHYSeXGR6RH\nPi8hnEqwnqu62hPnBqe6fyRMZg3O0tyu2iDym7wzs6S+vj4umO0XiUSor6/PcI9UVFYRe3ScSEER\nlJar216yALrHpXoALVSS4RsfsU8+LyGcz8F6cUni1yzV/ULks9z9zc5xu3btSro/lwNaxe6E2omJ\nd9ZOVD3dIGo0gjJEbUlFIWpIz7KT4Y42ols2yEjicGX6xkcMMnNurNRUf/BnNMVKTeV6bmQ+B+v2\nYh1GY+J9RiOyJK04osm7P0tqa2tZu3btkPvTOTksE5PQNItu3DfZp7c7FqDsneyjNiUQIBodIjsu\nGkUJBlVtr38iU3PDDiKuDqngMEwDNz7759D2S8ONjxgsn3Mj83ki04lnFA5Z5UCII5kEtFlSU1OD\nRqNJmHag0WjSEmj2T0JD50drCfD5F/+EkCktk9AUkxntdT+PBWFtLVBanr4ApX+kL9Hj60K76iN9\n/ROZBl45qeAwbJm88RGJ5eMSwvkcrJvMGr52vj0jdWiFyCXyW5BFF126kBdWLGfw3FuFiy5dmJb2\nnnv+aQqmbkVf4EVj6CMS1NPXa+G555/muh/ekJY2ARhq9FQlit0JY+sSj/SNrVM1kE5lAlo+VHDI\n1GjwSG58MjlinenR8Xwbjc+WfAzW+9mLdRLICrEf+W3Iot+v87DaeToV0V1UaHfTHB5Ns1JL9zoP\nvzzVoWpb9fX1FBy1FVNp98A2rakPrakb2EZ9fb2qo8KZHlXM2EjffhOZPDoD3QYLRUEv1lBw3wQ0\ntQPoDJZA63/d2vbspimqpVIJUzpqdNpHgz06I92WIop0Rmwp9jET761Mv4/zeTReCCHSSQLaLOnw\n9rGxtYsTx76Ew9yESe+mts9Gp6+ST748nw5vBU6LXrX2tjdsQF/gTbhPX+BhR8NGVQPa/lHFBmsx\n9eUTqOltZ0waRxUzleIQNRoJanW8M+poGq0OglothnCYKk8np+/ZiNFgYIjpacOzXwDdZrLRZLFT\n6XVR6nfvqwSg4nn2Pr6EF/oM+CqOGthmDgS45PElFP5Y/dctGAzy9ttvs6exiWDAj8FoZlRVBWec\ncQaGISbzZXLEOtOj4/3ttZlsNBWPir3WUpdXJNDa2kpTUxOVlZWUlZXlXXtCHCoJaLNkS7uP2dV/\nYnTRtoFtFoMbi2ErRF9ia3stzjHqBbRKkR6N0pdwn8bQB3r13gpRVweuL+t5fsopRJTY4751JWPQ\nRCN8+8uNONLwWL6fYneqGuDFHT8Q4LXqY2gqKB7YFtTp2FVUxmsaPRepPAGNsgo8RU5eqJiMT7dv\nerM5FOCS5k0UqJgfHHV18HzYTEA/+H3n05tYGdZyVRpet1def4PGLxsG/h4M+Ni5cyevvP4mF11w\nXsI+ZmrEOuOj464OPA07eWHy/PjXumEzBWn8vclXW+ob2fHlHsZVj6Kupirt7WUi6PN4PKxYsQKf\nzzewzWw2s3DhQqxW9Se9Zbo9IYZLAtosCbn3UGJpBsAatWGP2nEpLjyKG6eliT7PHkC9WautHSVE\nCvVoTfFBbSSop7WnRLW2aG1mReUUoprBuWsRRcvzlVP4kcqjivtLdwUHt62QPQUONAnWHNpT4MBt\nLaBAxfYUu5PnK6cQ0CUIMiuncLWK17F16xZ8Wn3CWn5erZ7WbVspn6Vee263my+//JJEBZa+/LIB\nt9uNzXZAAkIqtWvVuiaZbGtve8+XH0VAP3hk2qc3sbL8KK5K4+9Nvuno7uXZ5SsgFEABNq2GN3RG\nrrhsIc4iNX9DYzIZ9B3YDoDP52PFihVcddVVqraVjfaEGK78zJbPARWeLyjQBTk3dAELQ1dwUfhS\nFoau4NzQBRTqglR6vlC1PVsLaP3jE+7T+sdjU7GGfX1fmIgm8VsrrNFQHwyp19heLpeLRx55hJdf\nfpm1a9fy8ssv88gjj+ByDRGQDNOaTTsTBrMAGqKs2bxT1fZatm/Bp0s8Uu/V6WnZPsQEtWFY1+Ee\nMl1CAT5vd6vWFsCarQ3Jr+XWhvgd+9WubTPZWOcYTZtpb9Crdu3a/dr6rHgsK8cu4LPiselpC2jV\n6vHpE6dZePUGWjXpGX/4dEsDy9/5mE+3JLjeOerZ51agCQXQEHvvagBNKMCzz61IS3vJgj41tba2\nxrXTz+/309ramtPtCTESMkKbJV29FZypO48JytiBbTYKmBAt4MzQeaxXc8QUqFG62b7n+wQ1T2M2\ntVCkNdIdDuDzl2PY8x1qlE2qtbV2d1vS/et2t1M7RbXmgOTLCF933XWqtbOnyZN8f2PiPOXhWvev\ntUPedWqAzz9dR/n4OlXa6lZsSQPabuVg07UOze7G9qT79zR2wIwD+mF34hkzMZbne+BjeX2QQhVH\nMBW7k8YxU3gBGzpCKECbbTz/O3oSl+CmWuXR0s9bupPfULT0UJ74nnRY9rT38PzzK9BFgyjA37/4\nJ39928C3v72QUSXpq2m6Z88e1q1bl7bH8lvqGyEcSLwzHGBLfaOq6QfJgj6fz0dra6tq59nU1DTk\nvmg0SnNzs6rXNNPtCTESEtBmSa+3igq7nkTfYBXRSj72lqranmNqNfXr9Xw9dCGl4QBmIvjCGtpC\nRt6J6nFMrVatLX/ElPSL2RcZYqmbYaqvrycciSRsM7x3GWG10g9GlY+ntWM7kGjZYg2jyscm2D58\n3aEiYOgvFVeoSLW26hzlNCsmIlF/3D6NYmKiQ90vrinRXppQ0CYYpY2gcDSJR4RXmsrwM7iPPr2J\nlSY7V6vaQ3hBKcQQ3ZcXrQAGQrygKeQmldty6exESfiRQBTo0an3WgM8//yK+HOLBnl+5Qpuuu4H\nqrYFmXssv3HHl0k/f77Y+aWqAW1TU1PS103NoK+yspIIiR+tRoCKigpV2slWe0KMhKQcZEm1xoVF\nMSXcZ1ZMVGt7VG2vq7SS+VXt1Bb4seqiaBQFqy5KbYGf+VXtuEorVWvrqPBQH4EAGo5KFAuOwJpN\n25J+ga3dtF21tqYdNw6TPvGHuElfwbTjVBxCA6pHH4VmiPeJRjFRPWqSam3ZegNUOc6Oa0+jmKhy\nnI2tV90Jb0fXVmAe4lqa9RUcXRMfBLS2tuL1xwfcAF6VH4F+uqUBXTTxOesiQdUf0R87fjR9SuKU\ngz7FwPTxo1VrK9PnBrB8+fKEj+WXL1+uajs2R9kQiSyxANNarO6NmdlemrQ9U5F6T9t6tAVJ3yM9\nWnXzgzPdnhAjIQFtltSMt+ELJb78vpCGmnEWVdsbbYIyc+IvsDJzkFGJY6ZhsZXUUuU4l/i3l4Yq\nx7nYSsao1xjgDyQf3fEF1LuW9mIdo0tPxGwcPRD4aRQTZuNoRpeeqHqh80nTK6kcIsisdJzNpOnq\njTQVm3zoNWZqyr5FVfHZOAtmU1V8NjVl30KvMVNsVjedojdko7Io8bWsLDqR3lD8l+W6bfVJb17W\nbVMvENtUvydpW5vr96jWFsB4rZcvzFMJKAYixIKhCBBQDHxhnsp4rXrXP9PnlskbkRnl1qRB2Ixy\ndSdpdSi2pO11qpiqs+nLdj4pmpPwPfJJ0Rw2f9mhWlsAm9p9Sdvb0p441UKIbMhqysGGDRt44IEH\nqK6OPe4eM2YMV155ZTa7lDHGSRPoev9TrEXxH4Qurx/jV9RNMi3VRClONJ0csGshqomi1vibY1Il\nxp09jC2/HK9/D75gI2ZDFRbTKIhEcNSpm59XGzXRgoah0gBqUbcg/alnl/C3t0/F4/UQCrvRaW1Y\nLda0rKVuL9ZhNVuoKfsWgWAHgVAbRl0pRoMTvT6qagBtP7oGw7YegkY7RoMTo2Ffjqihrwf7UepW\njejUlKDRaKiwn0oo7CUU7kWnLUCntUA0SpfGyYELMrvCxqSPd7vD6qWzTK4Zxd+/+OeQbU2qGaVa\nWwDRHVu4d/Vj/HTWTyhQFMrDblq0NnqjUR7414NEZ/4YZaY6ebuZPrd1GzYnvxHZsJmvqvRY3tHT\nhjfqBKUD/d784Cix4NIbdeLobYcKdUdpP7HPZbZrVVx7n9jnMl/FdiZHe+hTjHzgOBlbqJuivm66\n9UW4dUUokQiTUPfJ3mRTMGl7dSaVyxQKMQJZz6E9+uijufHGI3Pd9n+VrcAfPIGKaAVmLPjw0qw0\ns77sQ2ZznKpteaI6zGENVl180OcPa/BEdahV9dZerMNgUggGwWSzYTQUowRtEAKDSVF9FLNuQhEN\nvefS1Pkqg4NaDZWOc6kbr26OQ/9a6nrtWLZsak77Wuonf72Iv73dAzgwGmIryBmNcOIZ6uZUKnYn\n87v/wAeF3yJoKABFA9EIhmAv83v+iGL/martOaqLYGMPoKDTWmKB7IAoxdXx53eMxsdOxYAxwePy\nPsXAdI16I0bH1Y3hr2/pMBBflSOEjuPq1H3SEPX0YlY0XKYtI2goBEWBaBRDsAezoiHqVS9YiZ2b\nHgPxZfxC6FU/N1dQl/xGJKhezW3KKrjxywd4cPRZbDM70CpBwlED1b5Obtz9BpSeql5bQF2JmSj6\nhEGfPhKmrkS9G+rxYysoXLOTboONiK6YkK6ECGEgQmHIy/hadXP4xwc6KOzz0G0sxK2LnVO/wj43\n44MAkkcrDg9ZD2iPVH5/Ay2Rdnbq/oQ1aqMoWkS30o1HcWOJaPD7GzCZ1PtS6fFrwa/Haouf/dvu\n19Pj1+JUMR3qM1Mz48pfwWJux67T4QqF8PpK2NDzDc6g+OAHOATFU8ZSsLoBU4IRYX2wh+Ip6n7I\nD7Bq8BaFKTSmN3OnP4B2dYXoag+nNYC2XHU9X126hO5mD136Cor7mimqsKK5Sv2bztiNj4Zgggnp\nBpMm4TmOi3Sz3TydKb7PiUb3/UNFMbLdPI1xEfXKtIXXf8olW1bxQt3cgSoHUWLB7CVbVhFePwft\nVPVuPBVrAR/M/hVB037j0opC0GTng9l3cbq1WbW2IvXb9p7bnITnFqk/HU3NBNXaO3byWHZuWTvk\njcgxk2tVa0uxOzGHg9y2/mmabdU0FY2jsnsHFe4voaBI9cUpHMEepvXuYHXRxLigb1rvDhzBCrCo\n06Zid3Lfmlv40+w7KNaYMSka/NEIXREfF6y5H+V7S1VpZ0BZBQ+s/j/8dOZ1hPSF2DQ63JEQur4e\nHvjsEbjwN+q2J8QIZD2g3b17N/fccw9ut5uLL76Y6dOnJ/35qqr0r/aSiba+3PUh3r2jiR7FjUfZ\nN6PbRwS9ZjdVVXNVa6+osI+W3ctoUsoojJZhwoIfLz1KK2FrG+PGn4DVdvBRklSuSZs7QE3RK5xj\nnUhFdAGWsBWv4qHZ2szLvIK+cD6lNnUrHVx0mZb/t3wHEYsFQ3ExmoAFg7+bb142jsIqdeuFeoMh\nfvHaRnpaVjPG4KYhaKOwfAx3nXM0FkP6fqUy9tb/j8fQf9mId9ceSmpHUVF9aA0fyu/NJf9Wxn8v\n347PG4a9Y3hmi5aLLhuPxRZ/Lb3VNZy/00RfwdFxKRgTA904qwNYVLpQXa89jyMaYVrRWfQqfQRC\nHRh1TgqiehzRj7DVb6P4a+emdKxUrkmzex7BzYlzIIOGQnQTx1Kh0rn1fvp3+kJeFiiT2G0twY8X\nExZGe9opC/2Voo4WCuadqEpbEDv///zfBib3rI57LL+pcCYnzpupWlvhjjYaAiHWTL8BV+F4goYC\nOoK97O7ZzrGbllJl1KN1qldFJtDZwo3rnubBo75NS9EEbPoi3H3dlHdv4ydfPE/Jt+dgTOF1S+U9\nEty2iY8nXsYo3b68XIuixaKxsWPiZUzx9mCYMHlE57O/sFFPMOznR55e2osqiGhtaMJuSjx7KAj5\nqSivUPVaCjESWQ1oKysrufjii5k3bx4tLS3ceeedPPzww+h0Q3ersbExI32rqqpKa1u9LrCgGQhq\n92dGQ68rqmr7mlAPa43/YlfUFzciXKuYmde5ne6e5DmgqV6T9z/5jPPMRzEhGl9j9zyzjnfffZeT\nZs9IcoRD1+Xz0Fn3PAWGDpx7R4Q7g06+9F1PcWNY1bbu+/NGrnXsoXJMARalCG/UR1P4M25/vpWb\nTz9a1bb21+Hto9ndR4VNj9Oi4iPa/fj6Iiz5sBF3u4dKLTR9thlbyW5uPKEKs/7gI9HD+b356rkF\n1Df62dPcx6gKPTVVJlw9rbgSPGF3KSX07T31A/N8+/Q2dik27Cr93oRr6/hg9jyCJjtGwGiMfXEH\ngQ9m38VXazrxpdBWqtdkZ1MgluaRiKJhe1OAiE2lczNaWD31WtpLZ2AA+jP5W601rFauZbbBRK/K\nn3/3dLzNT+1nxOcHd7xNY+Ns1dqJrP6Y1UddTXvpvs+YoMlOq+k4Visa9B//Hc1M9QYLIr29KFoT\nX7Efty9VRFOIwV6Eov0TbT09aA5yLVN9j3g/XEWH49iE+zocU2j46B9YLOrl8kdWf8zqKT8cdC0j\nxkJay45jtfJD1a9lv0wOXIn8kdWA1uFwcPzxxwOxenZ2u53Ozs4jolDzTl8tJRhoIH7mbwkGdvpq\nD6wpPyJB9wZa9z6iPXBEuDUaIOjeiM6uzgeT0r2HitLEd+0VSgma7ibiKuaP0HufP8Z55joqohX7\nRoRNzbzx+WNcNPdm1drp8PZxrWMPE3X78sZsipWJOis/LN5Nh3ei6sFmXJAZBluJNeUg81A8/Jed\nXGcJMaYmhEUXwRvS0OD38PBfd/Kzr6lbkgz2nVuw3UetVuGtHVEMJeYhz60raANliNn+ioauoCVu\nItlw9Y46huDn3Qn3BQ2F9I6qVq0tgOISbSwYSkRRYvtVEvBG6HAknnja4ZhCwNuAmnVWoq4OzNu3\ncNnsK+Lzg7dvIerqUC0VwNfjT3puvt4NqFrnoKMteapIRwuolL7hck4i2pH48yWq0eNy1Kn6uvlD\nuqTX0h+uV7U9IUYiq2W7/v73v/PKK68AsaVLu7u7cTgc2exSxviVAoq9UxmrmLCgQSE2YjtWMVHs\nnYpfUbe+X2+oO+FoMMRSHNwh9XIPxxXXYIkm/pgzRy2MK1ZvEQeAXW0tnGWcxIToRGwUoEGzd0R4\nImcZJ7GrTb11fbevX0/lELUXq7QFbF+/XrW2+j38l51cp/XwWE2I/6wN8lhNiOu0sSBTTR3ePq6x\n9HF0QRCbPoJGAZs+wtEFQa4299HhjZ9ANFKPvreTn2q9PFQT5N9rfTxUE+SnWi+P/iXxuWUy6Otq\nD8MQSzij0cT2q8herMM4RCaO0YiqedMuv4moJklgFFA3JSjy+ad8MPuuWNCn0ewdxdTsDfoWE/l8\ntWptdWtKkp5bt0bdVRi7/cbYJMoEgoZCugOJS3oNiyV5CTDFqu5qfi5dWfL3iTb/B59E7shqQDtr\n1iw2btzIL3/5S+69914WLVqUNN0gn9SVmLl7x2kUumfwNcZwvq6UrzGGQvcM7t5xmqozYwHMtqOx\nDPFym9Fgsqn3qLx8Uh3eaOKlJ33RIGWT1FmqtV/D1k1UKEOPCDds3axaWwZ3KxYl8WtjVswY3MmX\n/T1UmQwyd36+i2pT4iBtjCnMzs93qdYW7B3ttoaZUBDAuvfcrPoIEwoCXGsJJzy3TAZ9seB46GJT\nagbP/U48ozDu/GIVLVQuCVeW/JGucpD9h6q7M5w86OuKryQxbBk+ty5NadJUkS6NejmmxeFWlEji\n33lNpA97SN3PH0LJP1+UkIqvmxAjlNXo0Ww2c+utt2azC1njtOiZWFbELVtPpUTvpcrYS2OggPY+\nC8dVWVV/bO2JVKIPF4I2fiRWHy7EE6lErbUV9AVGXJoWbNTG7XNpWtAXqDv6Y+/VYTFbEsYe5qgF\nu9ujWlvWgiq8UQ82Jf6hpS/qw1ag3oprEAsyT00SZP7l810450xUpS1TVw+W8sSjSWZdBHNL4qVo\nh2v7mnpONyX+wqww9fHumnqcx8c/qj3xjEL+9nYP2lCIQkOInqCOsE6netDXHzwHEtybqR089+uv\naPH5hmZ2NfioHWNm2hT1yyI5aopRPuskqsSfgyYapniMuk/KXOVTYdfQQZ+rfCpqtZjpc3OYvBC1\ngJLgBicawWFUr5ScaVQZJR98QZt9atw+Z+8WTKOOUq0tgOIxxSjb+ohq4z8XNJE+7GPUTLoRYmRk\npbAsunn+KL4yykafpoDP3eX0aQr4yigbN89Xt6g5wJZ2H89+8V0KQ8WY0KIAJrQUhop59ovvqrri\ni9/fwNu6l9mmbMVNL2HCuOllm7KVt3Uv4/eru6xm5agyvEMs4+mL9lFZpd5jseqpU2iJJK4H2hLp\nZfRUdRfEMHX1YElQOxj2Bpld6gWZVocDXzjxiKQ/rGB1qPvlZXZ5MSc7N1fi96Snt4c5zmYuqGnh\n3Oo2LqhpYY6zGU+vukXlYf8R0+jAf2kZMd2r09XLvz37Gc+s66bNH+aZdd3827Of0enqVbUdk1lD\nSUXim2ZnhR6TWd2vBsekSogOsUBsNIqjTr0bwUyfW1FtCYZQ4t9DQ8hNUa16ZcIUu5OxfZ+wJ+RG\nowlSbvKj0QTZE3Iztu8T1UuSmSucFIdik9Us2jAV5gAWbewG2x5qxFyhbntCjMSR8Xz/MGXWa/j5\nyaPp8PbR4u6jPI2z1wHcISv/tf5aRplbqbY28aWnkj2+WLA31IPV4fC5N9CjBHg1QY1dBfC7N6pa\nY7d06kRaPvgMW4L0sRavjtKZ6oxgQuzL8gPDW0Qj8+MWxFht+ID55q+p1hb0B5kerLr4YMAf1qga\nZFZOq6Fr8xtYiV8RrEu3i4pJZ6nWFoCjyoIv5MOa4FPIHwZHVeLUDv2mZiYX7hvZtekjHKWP8MWm\nZihTN+j2Bjw817uTiboCppn0fO7vY2tvL7MCEzCZ1V/H/pev7eC/aq1Umvow64L4Qhqa/FZueW0H\nD19+jKptTZlr4+W3uygORSjVR2jr09Cl03DyXHXrRMPgxVYOlI7FVjJ5bordyazuZ3jfsRCtxjBQ\nkiwcCXJ89/+g2P+Pqu3dVXY291Z6qTR1Y9ZF9r5H9NyiP5uHVW0pZlWphR/Z2ig3BQfaa/EbeNRt\n4YQ0tCfEcElAexhwWtIbyEIsZ1evgb4I7PGVDQSyAHoNTFQxZ7dAVzxQkuzAigpmNNh06j+mWl+8\njGjolLggc2PxX5ml4se8399Al6aDVzUJFsRA/QUxKqfVEPnib0D8SEhE00bFFPVqhaLs5m3dS5wU\nPivuOr6vfYNTlOmAeuc26tgJuNa+jDU6Lm5ft34Ho445L2779s17mGFOnIJRbQ7z2eY9jJ+k3hOO\nfQFmALPOl9YAc1t9M/fWmJlQsC/HwaqPMEEf4J4aC9vqm5lQo176we/f38W1zvDe4HlfYPTY37q5\n6Qz1K1qcdGZsxbtAINpfchijUVF9xTvI/Lk9MvE8Vrd3cZyiZ7pBx7pgiE+jfXxedx7/V8V2tnX4\nuLdSSfwewcS2Dh8TnOp9lnd4+/ihDcYV7KvGY9VHGKf380OMdHj70v7dJUSqJKA9QjgteqaVW1nd\nFJ9POq1c3ZzdPX3jkpYk29M3LsEY4PAF3V/QTA87Eq26hoag+wsMNnVyy3zuDUkXxFB79Nmid/MX\n44tMCZ0WH6wb32O2fiYR1Hn8nemR9aD7C97TvjpkAH2auy7udets6MZSMnSaQmdDt2oBbaYDzPrN\nbRxXnPhxeIUpyMeb21Rrb/8Jef36z+3aNAUqmRrtzvS5dXj7+LLDx/Nj9FSa/IMC6B9HVS96AAAV\nZElEQVR/6Ve1vfr1ezjOmji9qtIc5OP1e5hwknorvA03z12IbJCA9gjyswWjWPJhI1vavfQEIhQa\nNdSVWLjxBHVn/X7eqWOCdypa63paokF8RDCjoVwxUOiZyoZOHTUqLi7j9yQPMn0e9QLa/UefD5SO\n0eegewPNuJME6+rVD/YFrElH1r0Bq6p1V/2e5AF0otfNrA3jC2mw6uOvvy+kwaxVr5RWJgNMgBqt\nDrMu8axxsy5CjYoVYLIRqGRqtDvT57a5oZXfVusTBtC/rTaxtqGNeZPV+Yyt8bmxFGpIlCRm0Yao\n8atbdcDs8mKuTJyQZtFFMLepN/dCiJGSgPYIkqmc3cklZn6x+lT+73g9x1ibUHQeoiErO92V3Ll9\nAXd9Td2SZB3hCUmDzM7wONR6qJnp0eddPW1Jg/X6nnbGqxRlfuFOvtjHZncNat767P+6JQqgE71u\n44+uon17M9YEb9uOYGy/WjIZYAJUjHPi62gZMqe4Yqx6E3AyHahkcrQ72bmZ03Buut3tVNoTl3Cr\nNAdZv9sHKgW0VaO1+ENuzMRPGPArXqpGqVuH1lFlwU87lgRLUfgVD44qdWv6CjESUuXgCOS06Dm6\nzJK23KcJTjN6vYlbtp7KtRsu4K5N53Hthgu4Zeup6PUmVXO8ADb0jqF4iKJjxZj4ole9x+Sfd+qS\nLoixoVPdIGeHd1zS+sE7vbWqtVVTUpr03KpL1F2zfTivm7nCyWdFv0tYQeOzot+pOuu6YpwzadUH\nNQNMANvYMlz6HQn3det3YBurXrUOR5UFv5K4nF0sUFH3d7R+cxuV5qEelQeo36xe/VRHlQXfEAP1\nySYbDlelTo9FmzgNxqINUanijY9htJsWpSnhvhalCcNo9UoUAjgnG2hVEi/J26o04pys4qIRQoyQ\nBLQiLR46ayxFRi0dfRbWucvp6LNQZNTy0FljVW9rcomZpzZ+j1FYBgVio7Dw1MbvqbpIxeQSM3du\nOzXhghh3bjtV9QUxxpWORxdKnCOrCxVSW6reBJcJTjMPfHl6wnN74MvTVb8RGc7rFnR/QYvSy6u6\nP7FC9yz/rV3JCt2zvKr7Ey1KL0H3F6r1zza2jC5d4hXLunQ7VQ0wIXZub2lfTRisv6l9VdVzy3Sg\nEhvtThxlmnVhVUe7Rx07IemNwahj1U2lcI4xJ7k58OIco97vza6eNl7TvpbwPfK69jXqe9pVawti\nefXJ2vO7N6ranhAjISkHIi2KLTqeuWgi2zp8bGn3UVdiVj0g6jfBaSaoOLlvzf9hSkEDk4saWNM9\nhg29YygyalVtd//R5wMXxFC7rf72lvzt+3xj3DKCuh4ChDGixRAq5JUdV/K7Y9Rt754z67jhDT2G\nSC+Vxl6aAgUENQVpuREZzuuWyXxpv7+Bv+peHrrqg/8YVSfJDSeneLh87g38VfsaZ4bPiTu3t7Wv\ncYrbouq5OWtC+NxerAkelfvw4Byj3tjKcCYbjoTB0UxLbxO10fjygC1KEwaHAqjz+7PDOw69Ek74\nHrHsfWKjZg0HX8CatD218+qFGAkJaEVaTXCmL5Dd30NnjeWGN3aysTcWECmQthHh/rY6ghba+yxp\nbQvgP86Yyg1vXE+BponR1iZ2eyrpjVSmpb1M3ojAob9umcyXznTVh+HkFA9XxgMV+26aPD4mJAj6\nmpVmFHsPME2Vppo61iV93Zo6PqdGxYB2V08b65LcHEzvuVC1PPdxpePZursQdK6494guVEhthbol\nyfbPqz+wvXTk1QsxEhLQiryQyUCsv60erY0PNjakPejbd26j2dLu4+I0tweZuxE51NetP+/Wizf+\nWHvzbtUK85VIYdIAk4i6Cytk8twyHaj4AlZWaf8fDDFqekzgO6oF0A2+sUlftwZfraoTNzM5aprp\nJzY1JaWEdgxdsUY3Tt28eiFGQgJakVcyFYgBTC4vpDCs7rrwyWTy3DIt1XObXGLm13/5Ht89+km6\n8A98wRZj4qmN3+PWU9W7Pjt9yas+7PTVMkO11jJ7bpkOVL5w12JXlIRB3xhMqgbQlaXTUJqHvjGo\nKFVnJLhfpkdNM/nEZoLTzNXvn85PR8dXrHlg98k8/pX8/DwSuUkCWiFEzshkvrRfKaA4ST1lV4G6\nI7SZzgXPZKAyKIDGS5Pixry3gobaAfQEp5lHPljERROWxt0Y/Pe2RTw4Jbfz3DP9xCaTefVCjIQS\njUbjF4k/jDU2Jp6Zq7aqqqqMtZUr5JoMJtcjXiauSZc3xA1v7KQnEO5fQZXCvXm3xRb17tE7vH38\n5NVN3D7274z9/+3deUxUZ7zG8e8MDCIqimIUArjXulCXWKLGhVajpuZSe1HrlmpscrVqTWo0sdbm\nura1WFujCLU1WkXbhsaqJSqNC9HaULeqiAsiWrAiAjIgOzjn/sF1rsh4i4rQYZ7PX3JyZs77Pvlx\n/HHmnXMebfqK/Fh9Yyhf/cfLtbr13dNkUl9ze/RYjhqVuj4WwH/tvsSCgIQaWa67Fcrm/+xZp8d6\nOLdAjxt0b5nO1fwgMso7vbC5PTyeo6umtTmeM5xL6mtdPVTlIfK01NA+gTOcYOqbMqlOedRUn5nU\nx3+wy49kcDazqMYdLfr7NeO/Xw+s1Xs8Syb12TzU17HsDbRxHz+PF99AQ/3m+DzH07mkOjW08izU\n0D6BTjA1KZPqlEdNjS2TkgrbEx8X3dRSu1tNNbZMnld9fZnSmahGqlNDK89Ca2hFRJ6gvh4X7Urq\n+8uUIuIa1NCKiPyDNl5qZEVE/s306FsRERERcWpqaEVERETEqamhFRERERGnpoZWRERERJyaGloR\nERERcWpqaEVERETEqamhFRERERGnpoZWRERERJyaGloRERERcWpqaEVERETEqamhFRERERGnpoZW\nRERERJyayTAMo6EHISIiIiLyrHSFVkREREScmhpaEREREXFqamhFRERExKmpoRURERERp6aGVkRE\nREScmhpaEREREXFqamhFRERExKm5N/QA/o22bdvGtWvXMJlMzJgxg65duzb0kOpFcnIy69atIzAw\nEICgoCDCwsLYuHEjNpuNVq1a8f7772OxWDh+/Dj79+/HZDIxcuRIXn/99QYefd1KT08nIiKCsWPH\nMmbMGHJycmqdQ2VlJZs2bSI7Oxuz2cycOXNo165dQ0/puTyeR2RkJGlpabRo0QKAsLAw+vfv7zJ5\nAMTExHD58mVsNhvjxo2jS5cuLl0jj+dx+vRpl66RsrIyIiMjyc/Pp6KigvDwcDp06OCyNeIoj8TE\nRJeuEaljhlSTnJxsfPrpp4ZhGEZGRoaxZMmSBh5R/bl48aKxdu3aatsiIyON33//3TAMw9i5c6cR\nHx9vlJSUGPPnzzeKioqMsrIyY8GCBcb9+/cbYsgvRElJibFs2TIjOjraOHDggGEYT5fD0aNHjW++\n+cYwDMM4d+6csW7dugabS11wlMfGjRuN06dP19jPFfIwDMNISkoyPvnkE8MwDKOgoMCYPXu2S9eI\nozxcvUZOnDhh7NmzxzAMw7h7964xf/58l64RR3m4eo1I3dKSg8ckJSXx6quvAhAQEEBRURHFxcUN\nPKqGk5yczIABAwAYMGAAFy5cIDU1lS5duuDl5YWHhwfdu3fnypUrDTzSumOxWPjwww/x8fGxb3ua\nHC5evEhISAgAwcHBXL16tUHmUVcc5eGIq+QB0LNnTz744AMAmjVrRllZmUvXiKM8bDZbjf1cJQ+A\nwYMH8+abbwKQm5tL69atXbpGHOXhiKvkIXVPSw4eY7Va6dy5s/1nb29vrFYrXl5eDTiq+nPr1i3W\nrFlDYWEhEyZMoKysDIvFAvxfFlarFW9vb/trHm5vLNzc3HBzc6u27WlyeHS72WzGZDJRWVmJu7tz\n/ro5ygPg4MGDxMXF0bJlS2bOnOkyeUDVPDw9PQE4cuQI/fr14/z58y5bI47yMJvNLl0jDy1dupTc\n3FwWL17MypUrXbZGHno0j7i4ONWI1BlVwj8wDKOhh1Bv/Pz8mDBhAoMGDSIrK4vly5fz4MGDhh6W\n02uMNTRs2DBatGhBx44d2bNnD7GxsXTv3r1Wr21MeZw6dYojR46wdOlS5s+f/8zv01gyeTSP69ev\nq0aAVatWcfPmTTZs2PBc82osmTyax/Tp01UjUme05OAxPj4+1a425uXl/eNHrY1F69atGTx4MCaT\nifbt29OqVSuKioooLy8H4N69e/j4+NTI6OH2xszT07PWOTy6vbKyEsMwGt1VhODgYDp27AhUfXSa\nnp7ucnmcO3eO3bt3s2TJEry8vFy+Rh7Pw9VrJC0tjZycHAA6duzIgwcPaNq0qcvWiKM8goKCXLpG\npG6poX1Mnz59SExMBKp+AX18fGjatGkDj6p+HD9+nH379gFVSy/y8/MJDQ2155GYmEjfvn3p1q0b\n169fp6ioiNLSUq5evUqPHj0acugvXHBwcK1zeLSGzpw5Q69evRpy6C/E2rVrycrKAqrWFwcGBrpU\nHsXFxcTExLB48WKaN28OuHaNOMrD1Wvk0qVLxMXFAVXn09LSUpeuEUd5bN682aVrROqWydB1+xp2\n7tzJ5cuXMZlMvPvuu/a/IBu7kpIS1q9fT3FxMZWVlYwfP55OnTqxceNGKioq8PX1Zc6cObi7u5OY\nmMi+ffswmUyMGTOGoUOHNvTw60xaWhrbt28nOzsbNzc3Wrduzfz584mMjKxVDjabjejoaDIzM7FY\nLMyZMwdfX9+GntYzc5THmDFj2Lt3Lx4eHnh6ejJnzhxatmzpEnkAHDp0iNjYWPz8/Ozb5s6dS3R0\ntEvWiKM8QkNDiY+Pd9kaKS8vJyoqitzcXMrLyxk/frz91m6uWCOO8vD09GTnzp0uWyNSt9TQioiI\niIhT05IDEREREXFqamhFRERExKmpoRURERERp6aGVkREREScmhpaEREREXFqamhF5KklJCQwceLE\nWj9JLjIyko8//vi5jjlx4kQOHz78XO8hIiKNkx6zISJ2VquVvXv3cvbsWe7du4e7uzu+vr4MHDiQ\nsLAw+3Po/41u3LjBzz//zNWrVyksLMTd3Z2uXbvy1ltv0bt3b/t+u3fvZty4cZjN+nteRKSx0Bld\nRAC4c+cOixYtIicnh4ULF7J9+3aio6OZPHkyCQkJrFq1CpvN1tDDdCgnJ4fly5fTunVr1qxZQ0xM\nDBs2bKBz586sXr2a9PR0ANLT0/nhhx/0HHgRkUZGV2hFBIBvv/0WX19fFixYgMlkAqBJkyb0798f\nf39/Tp48SWlpKV5eXjVee//+fXbs2EFSUhIFBQX4+/sTHh7OwIEDq+33yy+/EBcXR1lZGb1792b2\n7Nn2R6WePXuW2NhYbt++jbu7O8HBwcycORNvb+9/HHtKSgrFxcWEh4fTokULALy9vZkyZQoBAQE0\nbdqUP//8k88//xyAd955h7fffpuwsDBu3rxJTEwMN27coKKigh49ejB9+nT8/f2BqieAhYaGkpmZ\nyZkzZzCZTIwYMYKpU6fqKq+IyL+EzsYiQkFBAUlJSYwdO9bezD6qffv2hIWFOWxmAdatW0d2djYr\nV65k27ZtjBw5ki+//JKUlBT7Punp6VitVtavX09ERAQZGRl8/fXXAOTl5REREcHw4cPZunUrX3zx\nBbdu3WL79u21Gn9AQAAmk4ldu3aRl5dn324ymRg+fDht27alX79+zJo1C4Dt27cTFhZGQUEBK1as\n4KWXXiIqKoqoqCi8vb357LPPql2NPnjwIAMHDmTLli0sXLiQ+Ph4jh49WquxiYjIi6eGVkTIysrC\nMAz7VcmnkZ6eTnJyMtOmTcPX1xeLxcLo0aMJCAjg2LFj9v3MZjOTJk3C09OTtm3bMnr0aM6ePYvN\nZsPHx4fNmzczatQozGYzrVq1om/fvqSmptZqDEFBQbz33nucOnWK2bNns3DhQjZv3szJkyeprKx8\n4ut+++03LBYLEydOxMPDg2bNmjFjxgyysrJITk6279etWzdCQkJwd3end+/e9OnThz/++OOpsxIR\nkRdDSw5ExH5V9vG7FixatIjbt28DYLPZCA8PZ/z48dX2uXPnDgCBgYHVtgcEBJCVlWX/uX379tW+\nVObn50dFRQX5+fn4+Phw7NgxDh06RE5ODjabjQcPHtCmTZtazyE0NJQhQ4aQkpJCSkoKly5d4quv\nvqJNmzZ89NFHtG/fvsZr/v77b6xWK1OnTq223Ww2k52dXW0uj2rXrh3nz5+v9dhEROTFUkMrIvj7\n+2M2m8nIyKBbt2727REREfZ/L1u2zOGXwioqKgBqfNHq8Z8dLWUAsFgsJCQksGPHDubNm0dISAge\nHh7s2rWLEydOPNU83N3d6dmzJz179mTcuHHk5uaydOlSfvrpJ+bNm1djfw8PD4KCgqrN05HH520Y\nxhPnIyIi9U9LDkQELy8vBgwYwN69e5/4Ef2T7gzg5+cHwF9//VVte0ZGRrUlDFlZWdWuAGdmZtKk\nSROaN29OSkoKAQEBDBkyBA8PDwCuXbtW6/EfPnyY+Pj4GtvbtGlDhw4dKCgoeOLY79y5Q0lJiX2b\nYRjcvXu32n6ZmZnVfs7KysLX17fW4xMRkRdLDa2IADBz5kwqKytZvXo1qamp9o/909LSiIqKIjU1\nlS5dutR4XefOnenatSsxMTHk5eVRXl5OXFwcd+7c4bXXXrPvV1FRQWxsLOXl5WRlZREfH8/gwYOB\nquUIubm5ZGdnU1hYSGxsLKWlpRQWFlJaWvqPYzeZTHz33XccOHDA3rwWFxdz9OhRkpKSGDZsGFB1\n1waAW7duUVJSwpAhQ2jSpAlbtmzh/v37lJWV8eOPP7J48WKKi4vt73/lyhVOnz5NZWUlFy9e5Pz5\n8wwaNOjZwxYRkTplMnRDRhH5X4WFhezdu5fTp0+Tk5OD2WzG19eX4OBgxowZY1+HmpCQwKZNm/j+\n++9xc3PDarWydetWrly5Qnl5OYGBgUyZMoWXX34ZqHpSmNVqpVevXuzfv5/y8nJeeeUVZs2aRbNm\nzSgtLWXDhg1cuHABLy8vxo4dS0hICMuXL6esrIzo6GimTZvGrFmzGDFihMOxJyYm8uuvv5KRkUFx\ncTEWi4WOHTvyxhtvEBISYp/fihUryMjIYOzYsUybNo20tDR27NhBamoq7u7udO7cmWnTptGpUyeg\n6rZdISEh5Ofn22/bNWrUKCZPnqxlByIi/xJqaEVE/h9z585l6NChTJo0qaGHIiIiT6AlByIiIiLi\n1NTQioiIiIhT05IDEREREXFqukIrIiIiIk5NDa2IiIiIODU1tCIiIiLi1NTQioiIiIhTU0MrIiIi\nIk7tfwDN6aMzrcrivgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d5aedd8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "split_df_and_plot(df, 'learning_rate', learning_rates)\n",
    "split_df_and_plot(df, 'embed_size', embed_sizes)\n",
    "split_df_and_plot(df, 'state_size', state_sizes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Plots with Fixed Learning Rate"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9oAAALICAYAAACAfohjAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzs3XtcVVX+//EXh4uihAqKxHjXpMnUDDMd84ZyM0zzls2k\n5qXCO2UqgtfRUDDS8EZO/dJQMxsdmyEhrcx0pkYtR79lo+Yt0EQUEQ4gt3N+f/jgjAiKyFGO9H4+\nHj4G9l5nrfXZzMznfM5eZ207s9lsRkRERERERESswlDVExARERERERGpTlRoi4iIiIiIiFiRCm0R\nERERERERK1KhLSIiIiIiImJFKrRFRERERERErEiFtoiIiIiIiIgVqdCWKuft7c3HH39cpXOYNWsW\nI0eOrNI5iIiI7VKuEhGRilChLQIsXLiQdevWVfU0ynXs2DF27Nhxz8dNTk4mJCSEP/zhD3Tp0oWQ\nkBCSk5Nv+ZqCggJiY2Np06YNy5cvL3X++++/Z+TIkXTq1IknnniCmTNnkp2dfbdCEBG57ylX3dqd\n5KoNGzbQt29fOnTogK+vL7GxsZhMpkr1KSICKrRF7itbt269529eCgoKeOmll3B1dSUhIYHPPvuM\nevXqMXbsWAoKCsp8zaVLlxgyZAgnTpzggQceKHU+OTmZMWPG0KZNG7766is+/fRT0tLSmDVr1t0O\nR0RE7rL7JVdt2rSJpUuXMm/ePA4cOMCSJUtYu3Yt8fHxd9yniEgxFdpiczZs2EC/fv147LHH6N69\nO0uWLKGwsNByfvfu3QwePBgfHx86d+7Mq6++Snp6uuW8t7c3a9euJSAggBdffNFy7B//+AeTJ0/G\nx8eHp556iri4OMtrwsLCeP755wH497//jbe3N//5z38YOnQojz32GAEBAezevdvS/syZM7zwwgu0\na9cOPz8/kpKSePrpp8u8c1uWlJQUvL29+eijj+jZsyfh4eEAHDp0iOHDh1vu8r700kuWT86nTp3K\n2rVr+fTTT2nbti0XL168ret1vW3bttG2bdsy/wUEBJT5mr1793LmzBlmzpyJm5sbrq6uzJgxg+Tk\n5BLX5HoZGRmMGDGCt99+Gycnp1Lnv/76a0wmE1OnTqVWrVp4eHgQERFBUlISaWlpt3UNRUSqknLV\n/Z+r8vPzmTZtGp06dcLe3t7yt/r222/vuE8REQuzSBVr3bq1efPmzWaz2Wz++OOPzZ06dTLv37/f\nXFRUZP7pp5/MPXv2NC9fvtxsNpvNqamp5jZt2pjXr19vLioqMl+4cMEcHBxsnj59eon+nn76afPx\n48fNJpPJcszf39+8f/9+c2Fhofmjjz4yt27d2nz06FGz2Ww2z5gxwzxs2DCz2Ww2f/vtt+bWrVub\nR48ebf7ll1/MeXl55hkzZpg7d+5s6e+FF14wDx061JyWlma+dOmSeezYseYOHTqYY2Njbyvm5ORk\nc+vWrc3PP/+8+ddffzWbTCZzXl6euVOnTuYlS5aYCwoKzJmZmeZRo0aZ//SnP1le98ILL5inTp1q\n+b2862UNb731ltnf37/UcX9/f/Obb75Z7uu7detW6rps2LDB3K5dO3NBQYHl2OXLl82tW7c279q1\nq9JzFhGxNuWq6p2rzGaz2WQymZ955hnz/PnzrdaniPx26Y622JT169fz3HPP0bFjRwwGAw8//DCj\nR4+2bEDj4eHBnj17GDZsGAaDgQYNGtCtWzcOHTpUop+nnnqKVq1aYWdnZznWu3dvOnbsiL29Pf36\n9QPg6NGjN53LiBEjaNy4MU5OTgQFBZGens6FCxe4ePEi+/btY+zYsdSvXx83NzfCw8Pv6PvFQUFB\neHp6Ymdnh5OTEzt37mTy5Mk4ODjwwAMP0Lt371KxVeR6WcPly5epU6dOqeP16tXj0qVLd9Rn9+7d\nsbOz480338RoNJKenk50dDROTk5cvny5slMWEbmrlKuqZ65auXIl586dY/To0VbrU0R+uxyqegIi\n1zt58iTHjx/n/ffftxwzm83AtSVeTk5OfPLJJ2zevJlz585RVFREUVERnp6eJfpp3Lhxqb6bNm1q\n+dnZ2RmAq1ev3nQuTZo0sfxcs2ZNS/usrKxSYzRv3py6devedpxljQHw1Vdf8f7773P69GkKCwsx\nmUw3XVoHt3e97qbr3xxWRKNGjYiLiyMmJoYePXrw4IMPEhISwq5du3Bw0P8tiYhtU66qXrmqqKiI\nxYsX8/e//501a9bQqFGjSvcpIqJ3tGJTatasyfjx4y3fV7vR3/72N6Kjo4mKisLf358aNWoQExPD\np59+WqJdWUnbYKjYAo6btS/ejdTR0bFC/ZXl+j7+/e9/M336dGbMmMHQoUOpXbs2mzZtYu7cuTd9\nfXnX60bbtm1j9uzZZZ7z8vLis88+K3Xc3d2djIyMUscvX75M/fr1b2vcsnTu3LnE3Yzs7Gxef/11\nvLy87rhPEZF7Qbmq+uSqq1evMnnyZFJSUvjoo49o1qxZpfsUEQEV2mJjmjVrxpEjR0ocu3TpEjVr\n1qR27docPHiQli1bWpbTAbdcrnY3eHh4ANc2iWnZsiUAp0+fLjMZV8ShQ4eoXbs2o0aNKnHsVsq7\nXjcaMGAAAwYMqNC8OnToQFxcHJcuXcLd3R2Aixcv8ssvv9CxY8cK9VUsMzOTnTt3EhgYaJnn7t27\nqVWrFo8++ugd9Skicq8oV1WPXFVUVMTEiRPJy8vjo48+KvWUjLuR/0Tkt0Pf0RabMnLkSLZv305i\nYiIFBQUkJyfz8ssvs2jRIuDa8rXz589z9uxZrly5wooVK8jJySEjI4OcnJx7MkdPT0/atGnDu+++\ny+XLl0lPTycqKopatWpVqt/GjRuTm5vLjz/+SHZ2Nh9++CGnTp0C4Ny5c8C1ZYRnz54lKyuL/Pz8\ncq+XNXTt2pVWrVrxxhtvWOJduHAhrVu35g9/+AOApWguKiq6rT4dHR2Jjo5m+fLl5Ofn8/PPP/Pm\nm28yevRoatSoYbW5i4jcDcpV1SNXxcfHc+bMGeLi4sp8FOXt9CkicjMqtMWmPP3000yfPp2lS5fy\n+OOP88ILL9ChQwfL85Wff/55OnXqRHBwMMHBwdSsWZOYmBhcXV3p1avXLb/HZk1vvPEGRqORbt26\nMWLECJ5//nlcXFwq9Z0tf39/nn32WUaMGEGfPn1ITk5m1apVtGrViuDgYM6cOcPQoUP5+eef6dGj\nB8eOHSv3elmDvb09a9asITc3F19fX/r06UNhYSFr1qzB3t4egKysLE6dOmX5zt2qVassj2JJTU1l\n9erVlt/h2puwVatWsW/fPp544glGjx7NwIEDmTBhgtXmLSJytyhXVY9ctWHDBs6ePUvnzp1LPUbs\ndvsUEbkZO3Px/9uISIVcv4FLQUEBHTp0YP78+QwaNKiKZyYiInKNcpWISNXQHW2ROxASEsKoUaNI\nT08nLy+PFStW4ODgQNeuXat6aiIiIoBylYhIVbond7R/+eUXlixZwtNPP01gYCAXL15kxYoVmEwm\n6taty6RJk6yyK6bIvZKamsqf//xn9u/fT1FRES1btuTVV1+lS5cuvPTSS3z77be3fP1//vMfLTsT\nsSHKU1IdKVeJiFSdu15oX716laioKDw9PWnatCmBgYGsWrWKDh060KVLFzZu3Ej9+vXx9/e/m9MQ\nEREpk/KUiIiIWNtdXzru6OjIzJkzqVevnuXYjz/+aHksQseOHTl8+PDdnoaIiEiZlKdERETE2u76\nc7Tt7e1LLTvKy8uzLMFzdXWt9DMdRURE7pTylIiIiFjbXS+0raX42Yx3ysvLq9J92ArFYruqUzyK\nxTbd77F4eXlV9RTuKmv/be73v3cxxWFbqkMc1SEGUBy2pjiO6p6r5N6okl3Ha9asSX5+PgDp6ekl\nluuJiIhUNeUpERERqYwqKbTbtm1r2eny22+/5bHHHquKaYiIiJRJeUpEREQq464vHT958iQffPAB\naWlp2Nvb8+233zJ58mRWrlzJ559/Tv369enRo8fdnoaIiEiZlKdERETE2u56od2iRQvmzZtX6vjs\n2bPv9tAiIiLlUp4SERERa6uSpeMiIiIiIiIi1ZUKbREREREREalSq1atws/Pr6qnYTUqtEVERERE\nRKq51atXYzKZbrv9gQMH+Oabb+7ijEoaP348O3fuvGfj3W0qtEVERERERKqxo0ePsmzZsgoV2uvW\nrbM8gUMqToW2iIiIiIhINfDpp5/Sr18/OnToQKdOnZg4cSJ///vfGThwIAAdOnTgvffeA2D37t0M\nHjwYHx8fOnfuzKuvvkp6ejoAw4YNY8eOHfzlL3+hY8eOABQVFbFixQoCAgJo3749vXv35t133630\n/FJTUwFYvnw53bt3B64tI2/btm2Jf97e3qxYscLS14YNG+jXrx+PPfYY3bt3Z8mSJRQWFlbuAlqR\nCm0REREREZH7XGpqKtOmTeP111/n+++/57PPPgOuFdQLFiwA4ODBg4wZM4YLFy4wYcIEnn32Wfbv\n388//vEPfv75Z6KiogDYtGkTv/vd73jppZc4cOAAACtWrGDbtm3Exsby/fffExUVxerVq9m2bVul\n5hcdHV2q7fjx4/m///s/y7+IiAjq1KlD//79AfjrX/9KbGwsc+fO5fvvv2fNmjVs376duLi4yl1E\nK1KhLSIiIiIicp8zGo0UFRXh7OyMnZ0d9erVY/ny5cTExJRq6+HhwZ49exg2bBgGg4EGDRrQrVs3\nDh06VGbfJpOJjRs38tJLL+Ht7Y29vT0dO3ZkyJAhbN682erzu97hw4dZtGgRb775Jo0bNwZg/fr1\nPPfcc3Ts2BGDwcDDDz/M6NGj+fjjj29rLvfCXX+OtoiIiIiIiNxdLVu2ZMSIEbz44ou0bt2azp07\nExQURPv27cts/8knn7B582bOnTtHUVERRUVFeHp6ltk2PT2djIwMFixYwMKFCy3HzWYzDRo0uCvz\nKx538uTJhISEWJaVA5w8eZLjx4/z/vvvl5gLQH5+Pk5OTrc1p7tJhbaIiIiIiEg1EBERwdixY9m7\ndy9ff/01f/rTnxgzZgxNmzYt0e5vf/sb0dHRREVF4e/vT40aNYiJieHTTz8ts9+aNWsCsHTp0ko9\ngutm83v11VdLtS0qKuLVV1+lTZs2hISElJrP+PHjefHFF+94Lneblo6LiIiIiIjc50wmExkZGTRs\n2JBBgwbx9ttvM3fuXOLj40u1PXjwIC1btqRfv37UqFED4KbLxgFcXFyoX78+R44cKXE8NTWV/Px8\nq88PICYmhtTUVKKiorCzsytxrlmzZqXmcunSJbKzs29rLvfCb6LQNhQUQPrla/8pIiJyHzi8/yTv\nxe3i8P6TVT0VERG5DyQkJBAcHMzhw4cxm81kZ2fzww8/0KJFC5ydnQH4+eefMRqNNGnShPPnz3P2\n7FmuXLnCihUryMnJISMjg5ycHACcnZ355ZdfyMrKoqioiJEjR7Jhwwa++eYbioqK+O9//8sf//hH\nyy7mlZnfjT777DM++ugjVq5ciYuLS6nzI0eOZPv27SQmJlJQUEBycjIvv/wyixYtqsQVtK5qvXTc\nrqiIumeSccrJhcJCGjg4kF/LmYymjTHb21f19EREREr59ZeL7Pkn1LCrhx1w6gT89+eLdOsKDzap\nX9XTExERG9WvXz/Onj1LaGgoFy9epFatWvj4+PDWW29Rp04dfv/73zN48GBGjBjBhAkTOHjwIMHB\nwbi4uDBy5EhiYmIYOXIkvXr1Yvfu3fzxj3/kzTffpHfv3mzfvp0xY8aQm5vLzJkzuXTpEh4eHjz7\n7LO88sorlZ7fjdavX09OTg4DBgwocdzLy4vPPvuMp59+mkuXLrF06VKmT5+Om5sbfn5+vP7661a5\nltZgZy7+1riNO3fuXIVfU+/kaZwzs0odz3V9gMstmllhVlXDy8vrjq6HLapOsUD1ikex2Kb7PRYv\nL6+qnsJdZY2/zeYPL+JsKP05eK6pkKHP35+F9v3+39tiisN2VIcYQHHYmuI4qnuuknuj2i4dNxQU\nXLuTXQannFwtIxcREZtzeP9JatiVveKqhp29lpGLiIjcJ6rt0nGHvHwMhYVlnjMUFuKQl0++o+M9\nnpWIiMjNnUnOwY56ZZ6zA84k59LuiXs7JxERkfLMnTuXrVu33rLN9u3bLc/B/i2otoV2YQ0nTA4O\n2JdRbJscHCisUfXPVhMREble08a1OHXiWlF9IzPQrLHzvZ6SiIhIuebPn8/8+fOreho2pUoKbZPJ\nxF/+8heSk5NxcHDgpZde4ne/+511x3B0JL+Wc5nf0c6v5YxJd7NFROQW7kWuulG7J1rw358v4mxX\nOj3nmYto90TpnVlFRETE9lTJd7QPHDhATk4OCxcuJCQk5KbPTqusjKaNyXV9gCKHa29YihwcyHV9\ngIymv50lCyIicmfuVa66Ubeu1zY+M5nNmM1mTGYzuaZCunW9J8OLiIiIFVTJHe1ff/2VVq1aAeDp\n6UlaWhomkwmDwbp1v9nensstmmEoKMDzAVfSsjJ1J1tERG7LvcpVN3qwSX2GNrm2Mdq584V4eTro\nTraIiMh9pkoK7SZNmvDpp5/y9NNPc/78eS5cuEBmZiZ169a96Wussc2+p1vZG8zcj6rTYweqUyxQ\nveJRLLapOsViy6oqV1n66l+9/s7V5b+3isN2VIcYQHHYmuoSh1S9Kim0O3TowNGjR5k7dy5NmjS5\nre+8VfbZfNXl+X6gWGxZdYpHsdim+z2W++kNTFXkqhvd73/vYorDtlSHOKpDDKA4bI2eo33N5s2b\nGTp0aLnttm/fTvfu3XFxcan0mNOnTycwMBBfX99K93U9o9HIvHnz+OGHHzCbzfTt25cpU6YA4Ovr\ni8FgwMHhfyVxUlISAKmpqYSFhXHmzBlq167NnDlzeOKJij32o8p2HR82bJjl50mTJuHq6lpVUxER\nESmTcpWIiFSVoktpFP6agsODjbB3b3BvxiwqIjo6+rYK7djYWB5//HGrFNrR0dGV7qMsb731Fo6O\njmzfvp2cnBwGDBhAx44d6dr12sYna9eupVGjRqVeFxYWRvfu3Rk1ahTffvst69evr3ChXSWboZ0+\nfZpVq1YB8J///IfmzZvf9e+8iYiIVIRylYiIVAVTbg5pf36N81OGcyHsFc6HDiftz69hys2x2hiF\nhYVEREQQEBCAn58fEydOxGg0MmrUKLKysggMDCQ5OZmTJ0/y/PPPExQUhJ+fHwkJCQDMnDmTU6dO\nMXz4cA4cOEBmZibTpk0jICCA3r17s2XLljLH3bdvH88++yx9+/YlKCiIxMREAIYPH84nn3xCUlIS\ngYGBln9t27a1bEb63XffMWjQIPz8/Bg6dCjJycnAtbvPwcHBZY7n5+fH5MmTMRgMuLi48PDDD3P8\n+PFbXptff/2VH3/8kRdeeAGAzp078/bbb1f4GlfJO4YmTZpgNpuZOXMmf/vb3xgxYkRVTENEROSm\nlKtERKQqXFoyi6v//hrT5YtgNmFKv8jVf3/NpSWzrDbG3r17SUlJISkpiR07dtCqVSsOHjxIZGQk\n9vb2JCUl0bhxY6Kjo+nVqxeJiYlERkYSERFBQUEBixYtAiA+Pp6OHTuyePFiDAYDiYmJfPzxxyxf\nvpxjx46VGjcqKoqZM2eyfft2Vq9ezeeff17ifGBgIElJSSQlJbFgwQI8PDx45plnMBqNjBs3jtde\ne42dO3cyYsQIyxLwhg0bWj4AuFGXLl148MEHgWvLyA8ePEj79u0t56Ojo+nXrx+DBg3iiy++AOC/\n//0vjRo1IiYmhoCAAF544QWOHDlS4WtcJUvHDQYDEyZMqIqhRUREbotylYiI3GtFl9LIP152UZd/\n/AhFl9Kssozczc2NEydOsHPnTp566ilCQ0MBSElJKdFu1apVmM1mAHx8fMjLyyMtLa3U99h37drF\nu+++i8FgwM3NDT8/P3bs2EHr1q1LtHN3d2fbtm24u7vTsmVLYmJiypzflStXmDFjBkuWLKFOnTrs\n3r2bhg0bWpZ8BwcHM2/evNv+Tn1+fj5Tp07F19eXDh06ANC3b1+6devGk08+yYEDB3j55Zf529/+\nRmZmJseOHWP8+PGEhYWxefNmJk6cyI4dO0p8n7s8WgMnIiIiIiJiAwp/TcF0Ob3Mc6aMdArPn7XK\nOO3atWPWrFnEx8fTtWtXpk6dSmZmZql2e/bs4U9/+hMBAQH07dsXs9mMyWQq1S4rK4vQ0FDLku/P\nP/+c7OzsUu0iIyNxdnZm1KhR+Pv7WzYfu1FERAQDBw7Ex8cHgMzMTJKTk0ssK3dyciI9vexrdb3s\n7GxCQkJwc3Nj/vz5luOvv/46Tz75JAAdO3akU6dO7N27lwceeAB3d3f69OkDwJAhQ7hy5QqnT58u\nd6zrVdlmaCIiIiIiIvI/Dg82wlDPDVP6xVLnDHXdcPAs/wkYt6u4YM3IyCA8PJz33nuPIUOGWM4X\nFBQQGhrKsmXL6NGjB/n5+bRr167Mvjw8PFi5cmWpO9g3ql+/PrNnz2b27Nns3buXSZMm0a1btxJt\nNm7cSEZGBuPHjy/Rf4sWLdi6dWuFYiwsLGTixIk89NBDhIeHW47n5+dz5swZHnroIcuxoqIiHB0d\n8fLyIjs7G5PJhMFgwM7ODoPBUOF9WnRHW0RERERExAbYuzfA6aFHyjzn9NAjVtt9fMuWLaxcuRKA\nunXr0qJFCwAcHR0xmUwYjUZyc3PJycnh0UcfBWDdunU4OjqSk3NtUzYHBwfLXXBfX182bdoEXCtu\nIyMj+fHHH0uMWVBQwPDhw7lw4QIAbdq0wcHBoUQBe+zYMeLi4njzzTdLHG/fvj1paWkcOnQIgOTk\nZKZNm2ZZ1n4z8fHx1K5du0SRDZCbm8tzzz3HwYMHATh69Cjff/89Xbp0wdvbGw8PDz7++GMAEhMT\ncXV1pUmTJrd1bYvpjraIiIiIiIiNcJ+2kEtLZpF//AimjHQMdd1weugR3KcttNoYvXv3Jjw8HH9/\nf+zt7WnatCmLFy/G1dUVHx8fevXqxTvvvMPYsWMZMGAA7u7ujBs3jj59+hASEkJCQgKBgYEMGzaM\nhQsXEhoayvz58wkICACgW7dueHt7lxjT0dGRwYMH8+KLLwLX9kKZNWsWzs7OljZr164lJyfH0gag\nZ8+ehIWFERsby4IFC8jOzsbR0ZEpU6ZgZ2dHamoqY8aMKXNDtE2bNpGbm0tgYKDlWGBgoOVO/dy5\nc8nLy8PZ2ZklS5bQuHFj4Nqjy8LCwlizZg3u7u68/fbbFfp+NoCdubyPAWzEuXPnKvX64gfQVweK\nxXZVp3gUi22632O5nQ1L7mfW/tvc73/vYorDtlSHOKpDDKA4bE1xHLaSq4oupVF4/iwOnr+7Z8/R\nFuvRHW0REREREREbY+/eQAX2fUzf0RYRERERERGxIhXaIiIiIiIiIlakQltERERERETEilRoi4iI\niIiIiFiRCm0RERERERERK1KhLSIiIiIiImJFKrRFRERERERErEiFtoiIiIiIiACwefPm22q3fft2\njEajVcacPn06X375pVX6utEPP/xAnz59iIiIKHH8xIkTDB8+nKCgIPr168eOHTss57Zs2ULfvn0J\nCgpi1KhRnDp1qsLjqtAWERERERGxMWnGPA6mZJBmzLtnYxYVFREdHX1bbWNjY61WaEdHR+Pr62uV\nvq63b98+wsPDadeuXalzU6ZMYcCAASQmJvLmm28yY8YMsrKyOHHiBNHR0bz//vskJibi7+9PeHh4\nhcdWoS0iIiIiImIjcvILmbr1MCM+2E/Ih98z4oP9TN16mJz8QquNUVhYSEREBAEBAfj5+TFx4kSM\nRiOjRo0iKyuLwMBAkpOTOXnyJM8//zxBQUH4+fmRkJAAwMyZMzl16hTDhw/nwIEDZGZmMm3aNAIC\nAujduzdbtmwpc9x9+/bx7LPPWu4WJyYmAjB8+HA++eQTkpKSCAwMtPxr27Yt8fHxAHz33XcMGjQI\nPz8/hg4dSnJyMgCpqakEBweXOZ6bmxsbN26kefPmJY4XFRUxfvx4+vfvD4C3tzeOjo6kpKRw4sQJ\nmjVrRsOGDQHo3Lkzx48fr/A1dqjwK6zg6tWrrFixguzsbAoKChg8eDCPPfZYVUxFRESkTMpVIiJS\nFWYnHOHrExctv1/MzufrExeZnXCEmIGl78zeib1795KSkkJSUhIAb7/9NgcPHiQyMhJ/f3/L8ZCQ\nEHr16sXLL7/M/v37GTt2LAEBASxatIitW7cSHx+Pp6cn4eHhGAwGEhMTycjIYODAgbRt25bWrVuX\nGDcqKoqZM2fSqVMnTp8+zfLlywkKCrKcLy6wAfbv309YWBjPPPMMRqORcePGsXTpUrp27UpCQgJT\npkxh69atNGzY0PIBwI1atWpV5nF7e3v69u1r+f3QoUMANGvWDDc3N3755ReOHTvGQw89xI4dO/jD\nH/5Q4WtcJYX2V199hZeXF3/84x9JT0/nz3/+M8uWLauKqYiIiJRJuUpERO61NGMeR85nlnnuyPlM\n0ox5NHCpUelx3NzcOHHiBDt37uSpp54iNDQUgJSUlBLtVq1ahdlsBsDHx4e8vDzS0tLw8vIq0W7X\nrl28++67GAwG3Nzc8PPzY8eOHaUKbXd3d7Zt24a7uzstW7YkJiamzPlduXKFGTNmsGTJEurUqcPu\n3btp2LAhXbt2BSA4OJh58+Zx7ty5UnOpqF9//ZWpU6cya9YsnJ2dcXZ25rXXXmPAgAHUrl0bZ2dn\n1q9fX+F+q6TQfuCBBzhz5gwA2dnZPPDAA1UxDRERkZtSrhIRkXstJSOX9Oz8Ms+l5+RzNiPXKoV2\nu3btmDVrFvHx8cyYMQNfX1/mzp1bqt2ePXtYvXo1ly9fxs7ODrPZjMlkKtUuKyuL0NBQ7O3tAcjL\ny7Pcmb5eZGQkq1evZtSoUdSsWZPXXnutzHYREREMHDgQHx8fADIzM0lOTi7R1snJifT09EoV2idP\nnuTll1/mlVde4ZlnngHgyJEjrF69ms8//xwvLy8++eQTxo0bR0JCAnZ2drfdd7mF9pEjRzhw4AAj\nRozgyJFYlq3OAAAgAElEQVQjxMbGYmdnx7hx48r8Uvnt6Nq1K1999RWTJk0iOzubsLCwO+pHREQE\nlKtERKR6aFTXGbfaTlwso9h2q+XE7+o6W22s4mXaGRkZhIeH89577zFkyBDL+YKCAkJDQ1m2bBk9\nevQgPz//pjnVw8ODlStXlrqDfaP69esze/ZsZs+ezd69e5k0aRLdunUr0Wbjxo1kZGQwfvz4Ev23\naNGCrVu3ViLiklJTUxk7dizTpk0rsXz9m2++oUOHDpYCvm/fvkyfPp3Lly/j5uZ22/2XW2i///77\njB07FoB169YxbNgwHnroIWJjY+/4zcvXX39N/fr1iYiI4PTp08TFxbF48eJbvqaySwKs1YetUCy2\nqzrFo1hsU3WKxVqqU666F31WBcVhW6pDHNUhBlActqaq42jgUoNHPF1LfEe72COerla5mw3XHl91\n/vx5JkyYQN26dWnRogUAjo6OmEwmjEYjJpOJnJwcHn30UeBafnV0dCQnJwcABwcHMjMz8fT0xNfX\nl02bNjFnzhwKCwuJjo6mf//+tGnTxjJmQUEBo0ePJiYmBg8PD9q0aYODgwMGw//25z527BhxcXFs\n3ry5xPH27duTlpbGoUOHaN++PcnJycTGxhIdHV2hu8zXmzt3LiNHjixRZAM0b96cDRs2cPnyZerV\nq8fu3btp0KAB9erVq1D/5RbahYWFeHt7c/HiRS5evEjPnj0tx+/U0aNHad++PXDtC+eXL1/GZDKV\nuJg3Onfu3B2PB9f+R1PZPmyFYrFd1SkexWKb7vdY7tYbmOqSq250v/+9iykO21Id4qgOMYDisDXF\ncVR1sb0g+BFmJxzhyPlM0nPycavlxCOeriwIfsRqY/Tu3Zvw8HD8/f2xt7enadOmLF68GFdXV3x8\nfOjVqxfvvPMOY8eOZcCAAbi7uzNu3Dj69OlDSEgICQkJBAYGMmzYMBYuXEhoaCjz588nICAAgG7d\nuuHt7V1iTEdHRwYPHsyLL74IgMFgsHwvutjatWvJycmxtAHo2bMnYWFhxMbGsmDBArKzs3F0dGTK\nlCnY2dmRmprKmDFjytwQbdmyZSQlJXH58mWKior47rvv8PPz44UXXmDXrl2cOnWKDz/80NJ++vTp\n+Pr68uOPPzJs2DAAXFxcWLZsWYUL+nILbYPBwKVLl9i5c6dljXxubi5FRUUVGuh6np6e/Pzzz3Tu\n3Jm0tDRq1qx5yzcuIiIit6JcJSIi1UUtJwdiBrYjzZjH2YxcflfX2Wp3sovVrVuXVatWlXluw4YN\nlp8ff/xxpk2bZvm9uJAGSm1ktmTJknLH7d+/v+WRWtcrfoRX//79iYyMLPO1HTp04K9//Wup47fa\ndTw0NNSy0duNjh49etN5Tpo0iUmTJt30/O0ot9AePHgwM2bMoE6dOsyYMQO4dlH79Olzx4P6+fmx\natUq5s6di8lk4qWXXrrjvkRERJSrRESkumngUsPqBbbcO+UW2l26dKFLly4ljk2ZMqVSu68W7zAn\nIiJiDcpVIiIiYkvKXQN35MgRPvjgA8vPISEhTJ8+ncOHD9/1yYmIiNwO5SoRERGxJeUW2u+//z5P\nPvkk8L+dXGfNmlVi7b6IiEhVUq4SERERW1Ilu46LiIhYk3KViIiI2JJy72jfjZ1cRURErEm5SkRE\nRGxJlew6LiIiYk3KVSIiImJL7mjX8cmTJ+Pq6nrXJiUiIlIRylUiIiJiS8ottPPz80lISODw4cNc\nuXKFunXr8vjjjxMUFISDQ7kvFxERueuUq0RERKxj8+bNDB06tNx227dvp3v37ri4uFR6zOnTpxMY\nGIivr2+l+7peWFgYe/fuLTHH6Oho2rVrB8C2bduYP38+8+bNo3///pY2X3zxBbGxseTn51O3bl3m\nz59P69atKzR2ue8+3n33XbKzswkODqZ27dpkZWXx5ZdfkpqaytixYys0mIiIyN2gXCUiItVNtrGA\nzIx8XOs6UdvF8Z6MWVRURHR09G0V2rGxsTz++ONWKbSjo6Mr3cfNvPbaawwcOLDU8TVr1vD999/T\nvHnzEsdTU1MJCwvjww8/pFWrVmzYsIE5c+awadOmCo1bbqF9/Phx3nrrLezs7CzHfHx8eP311ys0\nkIiIyN2iXCUiItVFQb6JLxJTSEvNJSe7iFq17WnQ0JneQY1wdCp3L+vbUlhYyNy5czlw4AAmkwlv\nb28WL17M+PHjycrKIjAwkL/85S8UFBQQERFBRkYGhYWFTJkyheDgYGbOnMmpU6cYPnw4ixYtonXr\n1ixYsIDDhw9TWFjI+PHjGTRoUKlx9+3bx6JFi8jLy8NsNjN58mSCgoIYPnw4gwcPpkaNGixbtszS\n/uzZs0yfPp3hw4fz3XffERkZSWZmJvXq1SMmJobGjRuTmprKmDFjSEhIqNA1ePLJJ3nppZcYMWJE\nieMODg7ExMTQqlUr4Nr7iaVLl1b4Gt/WX6qgoKDE79rFVUREbI1ylYiIVAdfJKZw5qSRnOxreSwn\nu4gzJ418kZhitTH27t1LSkoKSUlJ7Nixg1atWnHw4EEiIyOxt7cnKSmJxo0bEx0dTa9evUhMTCQy\nMpKIiAgKCgpYtGgRAPHx8XTs2JHFixdjMBhITEzk448/Zvny5Rw7dqzUuFFRUcycOZPt27ezevVq\nPv/88xLnAwMDSUpKIikpiQULFuDh4cEzzzyD0Whk3LhxvPbaa+zcuZMRI0YwZcoUABo2bHjLIjsh\nIYFBgwbRt29f4uLiMJvNALRv377EB/TF3N3d6d69u+X3r7/+mvbt21f4Gpd7R7tTp07MmTOHHj16\nULt2bYxGI3v27KFz584VHkxERORuUK4SEZHqINtYQFpqbpnn0lJzyTYWWGUZuZubGydOnGDnzp08\n9dRThIaGApCSUrKYX7VqlaUw9fHxIS8vj7S0NLy8vEq027VrF++++y4GgwE3Nzf8/PzYsWNHqe81\nu7u7s23bNtzd3WnZsiUxMTFlzu/KlSvMmDGDJUuWUKdOHXbv3k3Dhg3p2rUrAMHBwcybN49z586V\nmsv1nnjiCUwmEwMHDuTChQuMGjUKT09PBgwYcFvX6ZtvvmHdunWsW7futtpfr9xCe9iwYTRp0oSD\nBw+SmZlJnTp16N+/v968iIiIzVCuEhGR6iAzI99yJ/tGuTlFZF6xTqHdrl07Zs2aRXx8PDNmzMDX\n15e5c+eWardnzx5Wr17N5cuXsbOzw2w2YzKZSrXLysoiNDQUe3t7APLy8ggMDCzVLjIyktWrVzNq\n1Chq1qzJa6+9Vma7iIgIBg4ciI+PDwCZmZkkJyeXaOvk5ER6evotC+3rl68/+OCDPPfcc+zateu2\nCu3PP/+cBQsWEBcXZ1lGXhHlFtp2dnZ07drV8ulBsW+++abUo1RERESqgnKViIhUB651nahV277M\nYtu5lj2uday3KVpgYCCBgYFkZGQQHh7Oe++9x5AhQyznCwoKCA0NZdmyZfTo0YP8/HzLbt038vDw\nYOXKleXuzF2/fn1mz57N7Nmz2bt3L5MmTaJbt24l2mzcuJGMjAzGjx9fov8WLVqwdevWCsV47Ngx\nmjVrhpOTE3Dtu+m38zSSf/3rX7zxxhv8v//3/2jZsmWFxix2x9+m37x5852+VERE5J5QrhIRkftJ\nbRdHGjR0LvNcg4bOVtt9fMuWLaxcuRKAunXr0qJFCwAcHR0xmUwYjUZyc3PJycnh0UcfBWDdunU4\nOjqSk5MDXNs0LDMzEwBfX1/LrtyFhYVERkby448/lhizoKCA4cOHc+HCBQDatGmDg4MDBsP/StJj\nx44RFxfHm2++WeJ4+/btSUtL49ChQwAkJyczbdo0y7L2m5kzZw4ffPABcG05+ieffELPnj1v+Zrc\n3FxmzpzJ8uXL77jIhtu4oy0iIiIiIiL3Ru+gRpZdx3NzinCu9b9dx602Ru/ehIeH4+/vj729PU2b\nNmXx4sW4urri4+NDr169eOeddxg7diwDBgzA3d2dcePG0adPH0JCQkhISCAwMJBhw4axcOFCQkND\nmT9/PgEBAQB069YNb2/vEmM6OjoyePBgXnzxRQAMBgOzZs3C2fl/HyysXbuWnJwcSxuAnj17EhYW\nRmxsLAsWLCA7OxtHR0emTJmCnZ3dLXcdj4qKYs6cOXz88ccYDAb69+9PcHAwAGPGjOHs2bP8+uuv\nnDp1itWrVzN16lTy8vJIT08v9eSS9evXU79+/du+xnbm8j4GuIlXX331jrY5v1Pnzp2r1Ou9vLwq\n3YetUCy2qzrFo1hs0/0ey62+R3U33G+56kb3+9+7mOKwLdUhjuoQAygOW1Mcx73OVTeTbSwg80oB\nrnUc79lztMV6bnpH++jRo7d8YX5+/h0P+uWXX/L1119bfj9x4gTx8fF33J+IiPw2KVeJiEh1VdtF\nBfb97KaFdmxs7C1fWNYzx26Xr68vvr6+ABw5coR//etfd9yXiIj8dilXiYiIiC26aaFd/OX4u+2v\nf/0rkydPvidjiYhI9aJcJSIiIrbojncdt4aff/4Zd3d36tatW5XTEBERuSnlKhEREamoO94MzRrW\nrFlD165dadOmTVVNQURE5JaUq0RERKSiqvTxXj/++COjR4++rbbadfx/FIvtqk7xKBbbdL/HYis7\nuVbEvcxVN7rf/97FFIdtqQ5xVIcYQHHYGlvbdVzub1W2dDw9PZ2aNWvi4KBHeYuIiG1SrhIREZE7\nUe47h2+++YZNmzZx8eJFTCZTiXMffvjhHQ+ckZFBnTp17vj1IiIixZSrRERExJaUW2h/8MEHjBw5\nkubNm2MwWO8GeIsWLQgPD7dafyIi8tulXCUiImIdmzdvZujQoeW22759O927d8fFxaXSY06fPp3A\nwEDLYzWtxWg0Mm/ePH744QfMZjN9+/ZlypQpJdqkpqbSt29fIiIiGDhwIACffvopq1evpqCggNat\nWxMZGckDDzxQobHLLbRr165N586dK9SpiIjIvaRcJSIi1U1mZiaXLl3C3d0dV1fXezJmUVER0dHR\nt1Vox8bG8vjjj1ul0I6Ojq50H2V56623cHR0ZPv27eTk5DBgwAA6duxI165dLW3eeOONEqvXzp07\nx4IFC9i6dSteXl4sXryYpUuXMmfOnAqNXe7H/r1792bHjh3k5+dXqGMREZF7RblKRESqi7y8PNat\nW8fy5ctZs2YNy5cvZ926deTl5VltjMLCQiIiIggICMDPz4+JEydiNBoZNWoUWVlZBAYGkpyczMmT\nJ3n++ecJCgrCz8+PhIQEAGbOnMmpU6cYPnw4Bw4cIDMzk2nTphEQEEDv3r3ZsmVLmePu27ePZ599\nlr59+xIUFERiYiIAw4cP55NPPiEpKYnAwEDLv7Zt2xIfHw/Ad999x6BBg/Dz82Po0KEkJycD1+5I\nBwcHlzmen58fkydPxmAw4OLiwsMPP8zx48ct53fv3k1ubi6dOnWyHPviiy/o0qWLZVO8wYMHk5SU\nVOFrXO4d7W3btpGZmcl7771XajleZb73JiIiYi3KVSIiUl1s2rSJn376yfJ7VlYWP/30E5s2bWLk\nyJFWGWPv3r2kpKRYCsi3336bgwcPEhkZib+/v+V4SEgIvXr14uWXX2b//v2MHTuWgIAAFi1axNat\nW4mPj8fT05Pw8HAMBgOJiYlkZGQwcOBA2rZtS+vWrUuMGxUVxcyZM+nUqROnT59m+fLlBAUFWc4X\nF9gA+/fvJywsjGeeeQaj0ci4ceNYunQpXbt2JSEhgSlTprB161YaNmxo+QDgRl26dLH8bDQaOXjw\nIGPGjAEgNzeX6Oho4uLiWLlypaXd6dOnadKkieX3Jk2acOnSJa5cuVKhfVvKLbQXLlx4252JiIhU\nBeUqERGpDjIzM0lJSSnzXEpKCpmZmVZZRu7m5saJEyfYuXMnTz31FKGhoZYxrrdq1SrMZjMAPj4+\n5OXlkZaWVuoRaLt27eLdd9/FYDDg5uaGn58fO3bsKFVou7u7s23bNtzd3WnZsiUxMTFlzu/KlSvM\nmDGDJUuWUKdOHXbv3k3Dhg0tS76Dg4OZN2/ebT+OLT8/n6lTp+Lr60uHDh0AWLlyJcHBwTRu3LhE\n29zcXNzc3Cy/Ozk5YWdnR25urnUL7QYNGnDx4kV++OEHSxXfrl27EoOLiIhUJeUqERGpDi5duoTR\naCzznNFoJD093SqFdrt27Zg1axbx8fHMmDEDX19f5s6dW6rdnj17WL16NZcvX8bOzg6z2Vzq6R5w\n7a57aGgo9vb2wLXl78V3pq8XGRnJ6tWrGTVqFDVr1uS1114rs13xxmQ+Pj7AtQ8gkpOTS7R1cnIi\nPT293EI7OzubSZMm0bBhQ+bPnw/AsWPH2LNnDx9//HGp9rVq1SrxVbS8vDzMZjO1atW65Tg3KrfQ\n/vrrr3n//fdp06YNtWvX5ujRo3zwwQeEhISUWMsuIiJSVZSrRESkOnB3d8fFxYWsrKxS51xcXKz6\nAXLxMu2MjAzCw8N57733GDJkiOV8QUEBoaGhLFu2jB49epCfn0+7du3K7MvDw4OVK1eWuoN9o/r1\n6zN79mxmz57N3r17mTRpEt26dSvRZuPGjWRkZDB+/PgS/bdo0YKtW7dWKMbCwkImTpzIQw89VOIp\nIrt27eL8+fP06tULuPZBwc6dO0lNTaV58+bs37/f0vb06dM0aNCgwh9wlFto//3vf2fJkiXUr1/f\ncuz8+fPExMTozYuIiNgE5SoREakOXF1dadSoUYnvaBdr1KiR1XYf37JlC+fPn2fChAnUrVuXFi1a\nAODo6IjJZMJoNGIymcjJyeHRRx8FYN26dTg6OpKTkwOAg4MDmZmZeHp64uvry6ZNm5gzZw6FhYVE\nR0fTv39/2rRpYxmzoKCA0aNHExMTg4eHB23atMHBwaHE3irHjh0jLi6OzZs3lzjevn170tLSOHTo\nEO3btyc5OZnY2Fiio6Oxs7O7aZzx8fHUrl271KM6X3nlFV555RXL72FhYXTq1ImBAweSmppKbGws\nJ0+epEWLFqxdu/amm63dSrmFdmFhYYk3LgCenp4UFhZWeDAREZG7QblKRESqi2HDhrFp0yZSUlIw\nGo24uLjQqFEjhg0bZrUxevfuTXh4OP7+/tjb29O0aVMWL16Mq6srPj4+9OrVi3feeYexY8cyYMAA\n3N3dGTduHH369CEkJISEhAQCAwMZNmwYCxcuJDQ0lPnz5xMQEABAt27d8Pb2LjGmo6MjgwcP5sUX\nXwTAYDAwa9YsnJ2dLW3Wrl1LTk6OpQ1Az549CQsLIzY2lgULFpCdnY2joyNTpkzBzs6O1NRUxowZ\nU+aGaJs2bSI3N7fEkvPAwEDLd9LL0rBhQ+bOncuECRMoKirikUceYdasWRW+xnbm4m+338Qbb7zB\no48+ir+/P87OzuTk5LBz505+/PHHUp8M3E3nzp2r1Ou9vLwq3YetUCy2qzrFo1hs0/0ey+1sWHIn\nqkuuutH9/vcupjhsS3WIozrEAIrD1hTHcbdyVUVlZmaSnp6Om5vbPXuOtlhPuXe0X3nlFdasWWN5\nPIqdnR3t27cvcatdRESkKilXiYhIdePq6qoC+z5WbqFdv359wsPDKSoqIisrC1dX11LPKBUREalK\nylUiIiJiS25aaG/evJmhQ4cSFxd30y+Y606BiIhUJeUqERERsUU3LbSLlym4u7uXef5Wu7uJiIjc\nC8pVIiIiYotuWmgX78xWq1Ytnn766VLnP/jgg7s3KxERkdugXCUiIiK26KaF9i+//MKZM2f4xz/+\nQZ06dUqcy87O5vPPP2fEiBF3fYIiIiI3o1wlIiIituimhXZ+fj7//e9/yc7O5osvvihxzt7enhde\neOGuT05ERORWlKtERETEFt200G7VqhWtWrWiWbNm+Pn5lTp/7NixuzoxERGR8ihXiYiIiC0q99kn\nfn5+HD16lK+//prdu3eze/duPvvsM6Kioio18J49e5g2bRozZszg+++/r1RfIiLy26ZcJSIiYh2b\nN2++rXbbt2/HaDRaZczp06fz5ZdfWqWv6xmNRl5//XUCAwMJCAjg7bffLtUmNTUVHx8ftm7dWurc\n+vXr8fb2vqOxy32Odnx8PF999RWNGzfm5MmTNG3alPPnz/Pcc8/d0YAAWVlZ/PWvf2Xx4sVcvXqV\nzZs38/jjj99xfyIi8tumXCUiItWNOe8yXL0ANT2wq1HvnoxZVFREdHQ0Q4cOLbdtbGwsjz/+OC4u\nLpUeNzo6utJ9lOWtt97C0dGR7du3k5OTw4ABA+jYsSNdu3a1tHnjjTdK7fMCcOHCBT766KM7Hrvc\nO9r79u1j+fLlzJs3D3d3dxYsWMCkSZO4fPnyHQ/6f//3f7Rt2xZnZ2fq1aunZ5yKiEilKFeJiEh1\nYS66SuEPyyg6OJeiQ4soOjiXwh+WYS66arUxCgsLiYiIICAgAD8/PyZOnIjRaGTUqFFkZWURGBhI\ncnIyJ0+e5PnnnycoKAg/Pz8SEhIAmDlzJqdOnWL48OEcOHCAzMxMpk2bRkBAAL1792bLli1ljrtv\n3z6effZZ+vbtS1BQEImJiQAMHz6cTz75hKSkJAIDAy3/2rZtS3x8PADfffcdgwYNws/Pj6FDh5Kc\nnAxcuyMdHBxc5nh+fn5MnjwZg8GAi4sLDz/8MMePH7ec3717N7m5uXTq1KnUa9944w3GjRt3x9e4\n3Dva9vb21KpVCwCTyQRAu3bt+OCDD+74TsGFCxfIy8sjKiqK7OxshgwZQtu2bW/5Gi8vrzsay9p9\n2ArFYruqUzyKxTZVp1ispTrlqnvRZ1VQHLalOsRRHWIAxWFrbCGOop/iIP3g/w7kX4H0gxT9FIfD\no6FWGWPv3r2kpKSQlJQEwNtvv83BgweJjIzE39/fcjwkJIRevXrx8ssvs3//fsaOHUtAQACLFi1i\n69atxMfH4+npSXh4OAaDgcTERDIyMhg4cCBt27aldevWJcaNiopi5syZdOrUidOnT7N8+XKCgoIs\n54sLbID9+/cTFhbGM888g9FoZNy4cSxdupSuXbuSkJDAlClT2Lp1Kw0bNrR8AHCjLl26WH42Go0c\nPHiQMWPGAJCbm0t0dDRxcXGsXLmyxOt2796N0Wikb9++vPrqq3d0jcsttJs2bcrixYuZNm0aXl5e\nfPjhhzRv3pzs7Ow7GrBYVlYW06ZNIy0tjfnz57Nq1Srs7Oxu2v7cuXOVGs/Ly6vSfdgKxWK7qlM8\nisU23e+x3K03MNUlV93ofv97F1MctqU6xFEdYgDFYWuK46jKYtucdxmMJ8s+aTyFOe+yVZaRu7m5\nceLECXbu3MlTTz1FaOi1Aj4lJaVEu1WrVmE2mwHw8fEhLy+PtLS0Utdo165dvPvuuxgMBtzc3PDz\n82PHjh2lCm13d3e2bduGu7s7LVu2JCYmpsz5XblyhRkzZrBkyRLq1KnD7t27adiwoWXJd3BwMPPm\nzbvtv1d+fj5Tp07F19eXDh06ALBy5UqCg4Np3LhxibZXr14lKiqKuLi4cvu9lXKXjk+YMIFHH30U\ne3t7RowYwcmTJ9m6dSsjR46840Hr1KmDt7c39vb2eHp64uzsTGZm5h33JyIiv23KVSIiUi1cvQD5\nN8k1+ZlwNc0qw7Rr145Zs2YRHx9P165dmTp1apk5bs+ePfzpT38iICCAvn37YjabLSvHrpeVlUVo\naKjljvTnn39e5ofdkZGRODs7M2rUqBJ3zm8UERHBwIED8fHxASAzM5Pk5OQSy8qdnJxIT08vN9bs\n7GxCQkJwc3Nj/vz5wLWnkuzZs8dyd/t6K1eupF+/fjRp0qTcvm+l3DvaTk5OljXvDz74IBEREZUa\nEKB9+/asXLmS/v37k52dzdWrV3nggQcq3a+IiPw2KVeJiEi1UNMDnFyvLRe/kZMr1GxgtaGKC9aM\njAzCw8N57733GDJkiOV8QUEBoaGhLFu2jB49epCfn0+7du3K7MvDw4OVK1eWuoN9o/r16zN79mxm\nz57N3r17mTRpEt26dSvRZuPGjWRkZDB+/PgS/bdo0aLMncFvpbCwkIkTJ/LQQw8RHh5uOb5r1y7O\nnz9Pr169gGsfFOzcuZPU1FS+/PJLLl++zPr16y3tu3btysaNG2natOltj33TQnvChAm3XB4HsGLF\nitse6Hpubm507tzZ8kZo9OjRGAzl3lwXEREpQblKRESqE7sa9cClRcnvaBdzaW613ce3bNnC+fPn\nmTBhAnXr1qVFixYAODo6YjKZMBqNmEwmcnJyePTRRwFYt24djo6O5OTkAODg4EBmZiaenp74+vqy\nadMm5syZQ2FhIdHR0fTv3582bdpYxiwoKGD06NHExMTg4eFBmzZtcHBwKJFbjx07RlxcHJs3by5x\nvH379qSlpXHo0CHat29PcnIysbGxREdH3/J9QHx8PLVr1y5RZAO88sorJTY5DQsLo1OnTgwcOLDU\nBmje3t7885//rOglvnmhPWnSJAAOHz7ML7/8Qrdu3ahduzaZmZns2bOH3//+9xUe7Hp+fn74+flV\nqg8REfltU64SEZHqxv73Idc2RDOeurZc3MkVXJpj//sQq43Ru3dvwsPD8ff3x97e3rLXiaurKz4+\nPvTq1Yt33nmHsWPHMmDAANzd3Rk3bhx9+vQhJCSEhIQEAgMDGTZsGAsXLiQ0NJT58+cTEBAAQLdu\n3Uo9f9rR0ZHBgwfz4osvAmAwGJg1axbOzs6WNmvXriUnJ8fSBqBnz56EhYURGxvLggULyM7OxtHR\nkSlTpmBnZ0dqaipjxowpc0O0TZs2kZuba9lgDa7dyS/+TvrdZGcu/nb7TcyYMYPFixeX+KTAZDIx\nc+ZMoqKi7voEi2kztP9RLLarOsWjWGzT/R7L3dpgprrkqhvd73/vYorDtlSHOKpDDKA4bI0tbIZ2\nvWvP0U6Dmg3u2XO0xXrKXQOXmZlJVlZWiWPZ2dnaEEZERGyGctW9dymngB8v5HApp6CqpyIiUi3Z\n1b2b/EMAACAASURBVKiHXZ3WKrLvU+VuhtanTx9CQ0N55JFHqFWrFjk5ORw9elRL6URExGYoV907\nuQUmYv55jp8v5ZJxtYi6zva0cnNmalcvnB31HXYRERG4jUJ70KBBPPnkk/z0008YjUZq167N4MGD\nadas2T2YnoiISPmUq+6dmH+eY/9ZI7Uw4IEjWblF7D9r5K1/niOiZ6Oqnp6IiIhNuGmhffr0aZo1\na8b/Z+/Ow6Oo0r6Pf7s7CUkIITshCEHAoCIgiygKyE5QUBRk1EdUEBRQEHRU1kEfFAYQRRZBcd7R\nER1HRgcUAcVRGfABBUFARBBBCASyJ2TvTne9f2TSJqYD6aRD0uH3uS4uSVX1qXOqMHffdU6dc/jw\nYYAy64gVFhZy+PDhci+4i4iIXEyKVZV3Jr2Q06k2mkX40jSsQZXKSMuzcTwlnwHmECJMvgRgJh8H\nqYaNvSnZpOXZCA/09XDNRUREvE+Fifbbb7/N7NmzWbp0qcv9JpOpykum1Admmw2fQitFDfxw+OpL\nhYhIbVCsurDsfDvrP83Ar9BEA8PMMVMh1gbZ3D4olEYBFrfKOptjo1NRELFmf+e2hlhoaLJAkUFS\njhJtEREROE+iPXv2bABWrFhx0SrjDUx2OyEnEvDLy8dcVITDxwdrYACZsc0xLO59YRERkepRrLqw\ndRvTCCnyK/7BBAFYCCgs3j5qeJRbZYWmnCGKxi73ReFDSMoZiGpd3SqLiIh4vQoT7ddee+2CHy69\nyPelIuREAgHnfpvZ1lJUVPzziQQyWrWsvYqJiFyCFKvO70x6IUE2HzCV3xdk8+FMeqFbw8j9Ek7j\nb3I9+62/yYLfqURop0RbRESkwkQ7LCzsvB8svVbppcJss+GXl+9yn19ePmabTcPIRUQuIsWq8/vp\nwBksFfRAWzBx+MAZmt7cstLlBba+DNsuG36W8sm5zWEjsFWzqlZVRESkXqkw0b7rrrvO+8G3337b\n45Wp63wKrZiLilzuMxcV4VNoxVrFRFvvfIuIuE+x6gIy06CCRPu3/S0rXVx+s+akfptEDOUT7VTD\nRn6z5gS6XUkREalL3n//fUaOHHnB4zZu3EivXr0ICgqq9jmffvpp4uPj6du3b7XLKi07O5s//elP\nHDp0CMMwGDx4MFOmTClzTFJSErfccgszZ87kzjvvLLNvzZo1zJ071znpqjsuuLxXamoqH3zwAcnJ\nyTgcDgAKCgpIS0tj1KhRbp/QmxU18MPh44PFRbLt8PGhqIGf22XqnW8RkepTrHKtbZsQvjlg4ONi\n7Lgdg7g2IW6VdzbHxhZy6e3wKTfr+FZy6anJ0EREPCanIJXM/ERCAmII8o+4KOe02+0sXLiwUon2\n0qVL6dy5s0cS7YULF1a7DFcWLVpEZGQkL7/8MufOneOOO+6gU6dO3Hzzzc5jXnjhBRo3Lv9QOjk5\nmX/84x9VPrf5QgcsX74ch8NBz549SUxMpEePHjRs2JCnn366yif1Vg5fX6yBAS73WQMDqtQTXfLO\nt6WoCBO/vfMdciKhmrUVEbl0KFa5FtOuNbnWDJf7cq0ZxLj5PnV0kC9BAWa2ODJZb0/jE3s66+1p\nbHFk0tDfTJMgJdkiItVlLcpn/fezePebCazd/QTvfjOB9d/Pwlrk+hXWqigqKmLmzJkMGjSIAQMG\n8Nhjj5GTk8Po0aPJzs4mPj6ehIQEjh07xj333MPgwYMZMGAAGzZsAGD69OkcP36cUaNGsXv3bs6d\nO8dTTz3FoEGD6NevHx988IHL83777bfccccd3HLLLQwePJhNmzYBMGrUKNavX8/mzZuJj493/mnf\nvr1zdNp3333H8OHDGTBgACNHjiQhoThfSkpKYsiQIS7PN3DgQMaNGwdAcHAw7dq14/jx4879W7du\nJT8/n27dupX77AsvvMCECROqeIUrkWhnZGQwYcIEevfuTWBgIP369ePxxx+vVnbvzTJjm5Mf3Ai7\njw8GYPfxIT+4EZmxzd0uqzLvfIuIyIUpVlVs6KAQsgpTyXcU4TAM8h1FZBWmMnSQe73ZAOGBvrQJ\nc/3AuU14gHqzRUQ8YNMPL3AsZQe51nTAINeazrGUHWz6YZ7HzrF9+3ZOnTrF5s2b+eyzz2jTpg17\n9+5l3rx5WCwWNm/eTPPmzVm4cCF9+vRh06ZNzJs3j5kzZ2Kz2Zg/fz5Q/IpW165d+fOf/4zZbGbT\npk2sXbuWZcuWceTIkXLnXbBgAdOnT2fjxo2sXLmSzz//vMz++Ph4Nm/ezObNm5k7dy5RUVHcdttt\n5OTkMGHCBJ544gm2bNnC/fffz+OPPw5AkyZNnA8Afq9Hjx5ERkYCcPz4cQ4cOMBNN90EQH5+PgsX\nLuRPf/pTuc9t3bqVnJwcbrnllipf4wsOHTebzWRkZBAaGorJZCInJ4dGjRqRnJxc5ZN6M8NiIaNV\nS4+8U12T73yLiFxKFKsq1rhJOPfdH07iwV9IPJ5CzOWRxLRrU+XyHr++aZl1uQtNDqwNDG6/3vVs\n5CIiUnk5BakkZbl+Hzgp6zA5BakeGUYeFhbGL7/8wpYtW+jRo4fzveVTp06VOe7VV1/FMAwAunTp\nQmFhISkpKcTExJQ57ssvv+SNN97AbDYTFhbGgAED+Oyzz4iLiytzXHh4OOvWrSM8PJzWrVuzePFi\nl/XLysrimWeeYdGiRTRu3JitW7fSpEkTZ5I8ZMgQnn32WRITE8vV5ffsdjvx8fGkpKTw1FNPccUV\nVwDFS4MOGTKE5s3LdpgWFBSwYMECVq1add5yL+SCifaQIUOYNGkSb731Fl26dGHOnDlERkZ6ZCy+\nN3P4+lY7Ca6Jd75FRC5FilUXFtOutdtDxV05tDufxoX//fpQal3uQ7vz6dZT11tEpDoy8xMrfOUn\nz5pBVv4ZjyTaHTp0YNasWbz99ts888wz9O3blzlz5pQ7btu2baxcuZKMjAxMJhOGYTjnQiktOzub\nKVOmYPnvHFOFhYXEx8eXO27evHmsXLmS0aNH4+/vzxNPPOHyuJKJybp06QLAuXPnSEhIKHOsn58f\n6enpF0y0LRYLW7ZsIT09nYkTJ2I2m+nSpQvbtm1j7dq15Y5fsWIFQ4cOpUWLFuct90IumGj369eP\n6667DovFwj333ENsbCznzp1zPk2Qqit557v0utwlqvrOt4jIpUix6uIoyHeQmW53uS8z3U5BvgP/\ngAu+lSYiIhUICYihoV/of4eNlxXoF0rjgKYeO1fJe9CZmZnMmDGDv/zlL2VW87DZbEyZMoUlS5Zw\n8803Y7Va6dChg8uyoqKiWLFiRbke7N+LiIhg9uzZzJ49m+3btzNp0iR69uxZ5ph3332XzMxMJk6c\nWKb8Vq1a8eGHH7rVxnXr1tG3b1+Cg4MJCwvj1ltvZdu2bZw7d46zZ8/Sp08foPhBwZYtW0hKSuKL\nL74gIyODNWvWOMu56aabePfdd4mNja30uStMtOfMmUPv3r3p3r07wcHBQPHQvB49erjVOFcOHjzI\nSy+95Oymb9GiBWPGjKl2ud4oM7Y5VDDruIiInJ9i1cWVm+OgsMBwua+wwCA3p+qJdlqejbM5NqKD\nfPWut4hcsoL8I2jSuC3HUnaU29ekcZzHZh//4IMPOHv2LI8++ighISG0atUKAF9fXxwOBzk5OTgc\nDvLy8rjmmmsAeOutt/D19SUvLw8AHx8fzp07R3R0NH379uW9997jT3/6E0VFRSxcuJDbb7+ddu3a\nOc9ps9kYM2YMixcvJioqinbt2uHj44PZ/FvcOHLkCKtWreL9998vs71jx46kpKSwb98+OnbsSEJC\nAkuXLmXhwoWYTOVX1ijx4YcfkpCQwKRJk7DZbGzfvp2rr76aRx55hEceecR53LRp0+jWrRt33nln\nuQnQ2rZty9dff+32Na4w0e7ZsydfffUVb775Jtdddx29e/d2XmRPuPrqq3nyySc9Vp638uQ73yIi\nlxrFqourYZCZBv4ml8l2A38TDYPcT7LzbQ4Wf53IkdQ8sgodNPY3ExceyJM3xRDgq95xEbn0DL5m\nJpt+eIGkrCPkWTMI9AulSeM4Bl8z02Pn6NevHzNmzGDgwIFYLBZiY2P585//THBwMF26dKFPnz68\n9tprjB07lmHDhhEeHs6ECRPo378/48ePZ8OGDcTHx3P33Xfz/PPPM2XKFJ577jkGDRoEFMfntm3b\nljmnr68vI0aM4MEHHwSKH4zPmjWLgIDfJtl88803ycvLcx4D0Lt3b6ZNm8bSpUuZO3cuubm5+Pr6\n8vjjj2MymUhKSuKhhx5yOSHa/PnzefbZZ4mPj8dut9O5c2fnLOQ1zWSUvN1egeTkZLZv3862bduw\nWq306tWL3r1706RJkyqf9ODBg2zevNmtLy+JiYlVPh9ATExMtcuoK9SWuqs+tUdtqZu8vS0Xeo+q\nqupLrPq9uni/v92WQ1Ji+blFmsT4VPiO9vna8dwXCew5k0sgZhphIRs7eTjo0rQhf+pbt0Z31cX7\nURX1oR31oQ2gdtQ1Je2oqVjlrpyCVLLyz9A4oOlFW0dbPOeCiXZpx44dY/v27Xz33XeEhITw3HPP\nVemkBw8e5I033iA6OpqcnBzuuuuuCsf7SzUUFEBePgQGgL9/bddGROSiUKyqWTarg39vOkVKUj75\neXYCAi1ENgmg3+DL8PVzrwc6JaeQ4a/9Hz1oTITJlwDM5OMg1bDxNVn885EbiQxqUEMtcU9KTiGn\nMvO5LCSgztRJRETqrgtOhlaaw+Fw/nEjPy+nadOm3HXXXXTv3p2kpCSee+45li1bho9PxdVRj/Zv\nLtQWk91OSAXvfRv/nQmwrqhP9wXqV3vUlrrJ29tyMXoJvDlW/V5dvd8drvOhIL8huTkOGgaZ8Q8w\nk5J6tsLjK2rHjpPn6EFjYs2/PQxuiIWGJguGw2DbD8e5oUVwleroqXe+S4a2n0othELAHy4Lb+DV\nQ9vr6r8rd9SHNoDaUdfUtR5t8W4XTLSTk5PZtm0b//nPfygqKqJXr17MnDmT6OjoKp80LCyMG2+8\nEYDo6GhCQkJIT08nKiqqymXKb0JOJJSZydxSVFT884kEMlq1rL2KuVJQgF9Ort5NF5FqUay6+PwD\nzNWeYdx+JpkIk+v1tyNNfhSdSQY3E+2SxPhoWj6ZBXZCAiy0CQuocmL88rZEQpJ8aGMKIMBiJt/m\nIPWMjSXbEpne9zK3y6spmkxORKRuqTDR/uyzz9i2bRsnTpygW7dujB07lmuuuea8s7pV1rZt28jI\nyOC2224jMzOTrKwswsLCql2ugNlmwy8v3+U+v7x8zDZbnUhoS3rdOXSY8EJrne51F5G6S7HKu8Wk\nnSWdcJf7AjETk54EtHGrzMVfJ7LrdA6BmInCl+x8O7tO5/DS14nM7O1eYpyWZyMsxYdmLnrcT6cU\nkJZnq3JS6+ked00mJyJSt1SYaG/fvp0+ffrQvXv3MjPBeULXrl155ZVX2L17N0VFRYwdO/a8Q/Gk\n8nwKrZiLyk9SA2AuKsKn0Iq1Gom2p2ZHL93rbqJu97prRniRukuxyruFxjbDOGBgovyDEQOD0Bbu\nDd9My7NxLDmPAeaQcu9870k+53ZifCrNSojhi4vqEWL4cjrN6naS7Oke94XbTjsnk2uCL9kFxQ8W\nFm07Xa3J5NRDLiJSPRV+Y/jf//3fGjtpQEAA06ZNq7HyL2VFDfxw+PhgcZFsO3x8KGrgV6VyPfne\nt7f1utfEu+5K3kU8Q7HKuzmimmMm2+U+MyYcUe4limdzbHS2B7t+59tukJTjZg90YjKBhLjcFYgZ\nIzEZml/uVh093eN+6Gzxg4VIky/+mCnAQYphY/vZrCr1uJc8CDiZnAc2M/g6aBGlHnIREXfp0Xw9\n4/D1xRoYUOYd7RLWwIAqJ3WefO/bG3vdwTO97t40UZ2ISE1rGGTGrwFYreX3+TXA7XW5TacTiaCC\nd77xg9OJEFX5oehFKYkYhLjq0MYAilLOAJVPtM/b457ifo/7kdR8epoa06LUg4VALMSaLOAw+Dk1\nn/AW7sXBF786SWiqP1eYwvG3mClwOEg5Y2PxVyeZNaClW2WJiFzK9GiyHsqMbU5+cCPsPj4YgN3H\nh/zgRmTGVm0IWWV6oN1R0uvuSnV73UOP/Urk4aOEHz1G5OGjhB77FZPd7nZZnm5ziZLk3VJUVGbI\nfMiJhCqVJyLizfwDzIRGuE4EQyN83Z5sLe90KoEm158JNJnJO53qVnmhMc1cJtlQPJo8NKapW+WV\n7nFvaLJgNploaLIQa/anU1EjknLciy32M8nEmFwvNdbM5F88mZwb0vJshKc2INbsT+B/6xf43/qF\npTYgLa9qsU9E5FKkRLseMiwWMlq1JKVtG9LatCKlbRsyWrWsco9pZXqg3VHS6+6KJ3rdPZHEerrN\nUHPJu4iIN+t8Q0OaxPjQwL84pW3gb6JJjA+db2jodlkRl0VR0YJuxn/3uyPmqhbYHK5/39scVmKu\ninWrPHPWOSJwHeMi8cOUdc6t8iJTUqkosluAyNQ0t8o79EsKTU3+Lvc1Nflz6Bf3HlSIiHd6//33\nK3Xcxo0bycnJ8cg5n376ab744guPlFVadnY2U6dOJT4+nkGDBrFkyRLnvn379nHXXXcRHx/PnXfe\nydatW537PvnkE4YMGcKgQYOYNGkS2dmuX3M6HyXa9ZjD1xdrUMNqvwNcEz3QJb3uNPC7ZHrdayJ5\nFxHxdj6+Jrr1DKLXwEbc2Lf4v916BuHj6/7M8Y2atThvD3SjZi3cKs8/wExME9e/72Oa+Lnd4557\nMuW8Pe65J1PcKi+o2fkni2vkZo+77XTGeRP3otMZbpUnItVUUADpGcX/vUjsdjsLFy6s1LFLly71\nWKK9cOFC+vbt65GySlu0aBGRkZFs3ryZtWvX8vHHH7N161YMw2DSpEk89thjbN68mT//+c88+eST\nZGdnk5iYyNy5c3n99df59NNPadasGS+//LLb51aiLRdUEz3QJb3u3NT9kul1r6kh8yIi9YF/gJnw\nSJ9qrc3dMMhMA9cjqWlQhXe+Aa7rFUKTGB98feyAga+PnSYxPlzXy/UkaecT4Vt0/h53P9dxrCLh\nV16G2VFB7HPYCLvSvcnVYvwqqt1/9zdwlNuWlmfjYHJenR1WXtfrd6nR/aikoiLYvQe+3gE7vy3+\n7+49xds9dooiZs6cyaBBgxgwYACPPfYYOTk5jB49muzsbOLj40lISODYsWPcc889DB48mAEDBrBh\nwwYApk+fzvHjxxk1ahS7d+/m3LlzPPXUUwwaNIh+/frxwQcfuDzvt99+yx133MEtt9zC4MGD2bRp\nEwCjRo1i/fr1bN68mfj4eOef9u3b8/bbbwPw3XffMXz4cAYMGMDIkSNJSCgetZqUlMSQIUNcnm/g\nwIGMGzcOgODgYNq1a8fx48fJysoiKSmJ7t27AxAXF4e/vz+nTp3i3//+N927dycmpvhh5ogRI9i8\nebPb11iToUmlZMY2hwom8aoWf3+sQe4PD/y9mpht3dNtdneiOs1MLiLinpJ3vpMSy8eCqrzzDb/1\nuBfkBxLgH0Z+QXqVHwYENW+BKdH1PhPQ6DL3e9wjmviQ4mJEd0QT99vb4uqm/JTkwGQq/9DbMBw0\nv+q3HvK6Pju5c33xlByyrAaN/UzERQbVmfpdamrqftTbZei+3w/JpUa4FFqLf/5+P3Tt7JFTbN++\nnVOnTjkTyFdeeYW9e/cyb948Bg4c6Nw+fvx4+vTpw8MPP8yuXbsYO3YsgwYNYv78+Xz44Ye8/fbb\nREdHM2PGDMxmM5s2bSIzM5M777yT9u3bExcXV+a8CxYsYPr06XTr1o1ff/2VZcuWMXjwYOf+kgQb\nYNeuXUybNo3bbruNnJwcJkyYwMsvv8xNN93Ehg0bePzxx/nwww9p0qSJ8wHA7/Xo0cP59+PHj3Pg\nwAEmTZpESEgIV199NR9//DHDhw9n9+7d+Pj40Lp1a/75z3/SosVvv49btGhBWloaWVlZNG7cuNLX\nWIm2VEpJD3RdTf5qYrb1mmhzZZJ3b5qZvK7+e5CauTe63+INOt/QkD07c8lMt1NYYNDA30RImKVK\n73yX5h9gpmlMIImJmVUuIyg6FD/HGWyW8nVp4MijYbR7Q70BuvYKYc/OXDJSCrHazPj5OgiNbFCl\n9gZEhxNh/Z50/5bl9kVYEwiIvtb5c03NTu6pxGnh1pPsSSr47/riFrKt/11ffOtJ/tS/9ut3qSm5\nH+H4cBW+JFtt1bofJYl7UlIBDYt8yPUpokkT//rxIKWgALKyXO/Lyire7+96LgV3hIWF8csvv7Bl\nyxZ69OjBlClTADh16lSZ41599VUMo3i0S5cuXSgsLCQlJcXZ21viyy+/5I033sBsNhMWFsaAAQP4\n7LPPyiXa4eHhrFu3jvDwcFq3bs3ixYsraGoWzzzzDIsWLaJx48Zs3bqVJk2acNNNNwEwZMgQnn32\nWRITE8vV5ffsdjvx8fGkpKTw1FNPccUVVwAwd+5cxowZw4IFC8jPz+fll1/Gz8+P/Px8wsLCnJ/3\n8/PDZDKRn5+vRFtqjsPXt1pLb9Wkmup192SbK5O818SyYp7mTQ8DLjU1cW90v8Wb/NYD7SA3x0HD\nIHO1hqN7kn+AmdCYIJKTyg/RDokJqnaPuyfa2214HHs+/IkMUyQ234b42nIJNVLoPPxK5zEls5M3\nd7GsmDnVqPX1u4vXF89lgCXcxfri6dWqX13vIT964iw/nUzjyhbhtImNrnZ5nniwkJZn4+ezedzr\n0wR/zJgoflWiAAcfn02u0v146cuTXJHeiPY0xGQBw4CCsw5e/vIkMwa2rFI964y8/OIebFcKrcX7\nPZBod+jQgVmzZvH222/zzDPP0LdvX+bMmVPuuG3btrFy5UoyMjIwmUwYhoHDUf41kuzsbKZMmYLl\nv98LCgsLnT3Tpc2bN4+VK1cyevRo/P39eeKJJ1weN3PmTO688066dOkCwLlz50hISChzrJ+fH+np\n6RdMtC0WC1u2bCE9PZ2JEydiNpu54447eOyxx3jllVfo3r07R48e5f777+eqq64iMDAQa6l1JwsL\nCzEMg8DAwPOe5/eUaEu9Udd73UurKHmvzKRu1WlTXV5j3NN1rEl1uY41cW+84eGPyO/5B9SdBLu0\nLjcFF/e4p9ootEIDPwiJ8PVIj7sn2usbFMj193cm/2waeWfSCWwaSkB02aGqxbOTu57HpGR28h7t\n3eud92QP+eGTyfS0hLteX5xQjpxMofuV5/9i/nue7pH1tPTMbKZ8fJQiAggyN+DdXzPx4QxLhrYh\nLKSR2+V58sHC4ZPJDPVpQmCpVxJMFN+ToT5Rbt+PtDwbbdIbuSyvdXqjKiXudUpgQPEvBlfJdgO/\n4v0eUjJMOzMzkxkzZvCXv/yFu+66y7nfZrMxZcoUlixZws0334zVaqVDhw4uy4qKimLFihXlerB/\nLyIigtmzZzN79my2b9/OpEmT6NmzZ5lj3n33XTIzM5k4cWKZ8lu1asWHH37oVhvXrVtH3759CQ4O\nJiwsjFtvvZVt27ZxzTXXYLfbne9ot2nThtjYWPbv38/ll1/Orl27nGX8+uuvREZGEhwc7Na5614E\nEqkmT822XhtqamZyb1hj3JN1rCk1VUezzYZfTm61l3iriXujZelEPMs5y3p8Y27s24he8Y2rPMt6\nTQqIDie8UxsCosPL7fP07OSeXr/bcTrpvOuL208nuV2/n8/mca8lktst4dxoCeZ2Szj3WiI5cja/\nWhN7peQUemRysCc/+oVuPk253TeSWy3h3O4bSTefpvzxo1+qVN7CrSfZdToHm9VME/ywWc3OBwvu\nKjqZin8FKYc/Zmwn3Vs27uBP5y/v4E9evgydvz9UNDy5cWOP9GYDfPDBB6xYsQKAkJAQWrVqBYCv\nry8Oh4OcnBzy8/PJy8vjmmuuAeCtt97C19eXvLw8AHx8fDh3rnhZwr59+/Lee+8BxROtzZs3j4MH\nD5Y5p81mY9SoUSQnJwPQrl07fHx8MJt/u59Hjhxh1apVvPjii2W2d+zYkZSUFPbt2wdAQkICTz31\nlHNYe0U+/PBD3nrrLef5t2/fTtu2bWnWrBnZ2dns378fgMTERI4ePUqbNm3o378/O3bs4NixYwC8\n+eabFU62dj7q0RapQ2piUjfwbI9kZR4GVGWovTf0mnq6jp4ekl0T96am7rfIpa6u9rhXRoyfweHz\n7XcxO/n5eLqHPNLkR3oF+yxApNm931me7pGF33qMj6b9TEZBUbV6jI+eOEtX3yYue/BNvk04euKs\nW8PIPT30PtTUgIpmNjABoWb3vtvYzpzDhOtk0wQUnc0G3J/voE65tkPxxGdZWTiHvjRuXLzdQ/r1\n68eMGTMYOHAgFouF2NhY/vznPxMcHEyXLl3o06cPr732GmPHjmXYsGGEh4czYcIE+vfvz/jx49mw\nYQPx8fHcfffdPP/880yZMoXnnnuOQYMGAdCzZ0/atm1b5py+vr6MGDGCBx98EACz2cysWbMICPjt\n//8333yTvLw85zEAvXv3Ztq0aSxdupS5c+eSm5uLr68vjz/+OCaTiaSkJB566CGXE6LNnz+fZ599\nlvj4eOx2O507d2bcuHEEBgaycOFCZs6cidVqxWw2l3l/e86cOTz66KPY7XauvvpqZs2a5fY1NhkX\negxQRyQmVjBNZyXFxMRUu4y6Qm2puzzRntBjv7qc1C0/uFGVkjmzzUbk4aMuk3e7jw8pbdu47P2v\nqC1VLa8m6ljZsqMbBXM2+1y1h917uo5Vudfn+zfmDffmQu9ReTtP/z6rL78j1Y66pbrtyD+bxmdf\ngtlc/oGgw2FnYB9c9oRX5MvNB8nOjMFkKt+rbxgGwSFn6B1/dZnt52tD4k9p7P7eXGF513Vy0LRt\n5ev3n8/2kZHeArOL8hyGQWhYAr0GupcAPff5r86h6FH4koyNNIro0sTf7aHoH3+2j6L0Fvi43cZ7\nRwAAIABJREFUqF+RYeATdpKhAztWurz/++k0e/dayiTuJU448unSySj3YOF89yPzRBpbd5gwu1hD\n3mE4uLm7QUhs5e/Hr//Zy77ElhXej47NfqVlz06VLq+0knbUmVhVUFD8TnZggMd6suXi8c5HqSL1\nWGZsc/KDG2H38cGgOJnJD25U5UndvGGN8ZoYMl96mDc7v632MG9P17EmhmTXxL2piTJFxLsVz06e\n4HJf8ezklU+aoGrrd59PWGwoZsP173qzYSe0Rahb5YWaGlDRwP6q9Mh6eih6jMnnvEP5Y8zuDWD1\n9ND7kNhwGjhcx7sGjny3kmyA2A4tKHK4jrlFDiux7d1bJq9O8/eHsFAl2V5KibZIHVMyqVtK2zak\ntWlFSts2ZLRqWeXZnUuGo7tSnTXGPfkwoCbqWDLMu6QntmSYd8gJ118OL3Yda+p9fE/fm5oqU0S8\nW7fhcUQVHsPXmg2GA19rNlGFx+g2/PwTIbnS4uqmGIbrZPr363dXhn+AmYho1w8BI6LdX1+8eVwk\nBq4fBhgYNL8i0q3ySg9FN5tMmEwm53vpJUPR3dG0+fmHhcdcYP/vRZr8zpu4uzv0HuDmW0Lws+eC\nw1E8RbjDgZ89l5tvCXG7LFNIOL3T3sFmL8RhGMWzYBsGNnshvdPewRTiXuIuUlP0jrZIHeWpZcW8\nYY1xT9exJmZv93Qda+p9/JqYfd+bZvQXkYujMrOTV5Y763dXVtcexbO7Z6TasFrBzw9Cqzi7e0hs\nOA2+Pl3B+uf5hMQ2c6u84snBXPe6OicHc+Od77DYUMx70zFM5b/WF/fgh7n4VMUaxTSF5Ir3B8e4\n//5zQEhDBt3bkMwTaWScPkdos0ZuX7fSwsZN4PY3FnMy1eBMwOU0zT9OiwgT5nFPVrlMEU9Toi1y\nCfCGNcY9WceamsDLk3WsiQcg5cr3cDJcE2WKiHcLiA53e6i4K5VZv9sdnl5P/eZbQvjPxkyspgAw\nmcAw8DPy6VWFHllPTw5W0oOfkly+170qPfieTtxLC4kNd3uouCsm/wAsj82iZWYaLVOSIHKwerKl\nzqnVRNtqtfLkk08yfPhwevfuXZtVEanXvKFH0pN19Jbe4pp6ACKepVglUvM82UNemqdmd/dkj2zz\nuEiO7TAwuXjzuypD0cGzPfieTtxrkikkHJRgSx1Vq4n2Bx98QFBQUG1WQeSS4g09kp6oo7f0FnvD\nAxBRrBK5mDzVQ15TPNEj6+mh6OD5HnxPJu4il6paS7RPnz7NqVOn6NSpatPvi4icT+neYktREfY6\n3FvsDQ9ALlWKVSJSEzw5FL00T/XgezpxF7kU1do62vPnz+ehhx7iq6++IioqSsPxRKRmaA1KqQbF\nKhGpSWePJHL2l1SiW0cQHVdH1m4WEY+olR7trVu3EhcXR1RUVKU/k5iYWK1zlixAXx+oLXVXfWqP\n2lI3eXtbYmK854tkbcSq3/P2+11C7ahb6kM76kMbAGLiYnAEgQPP//64mOrN/fhvO7wpVkndVSuJ\n9p49e0hOTmbPnj2kpaXh6+tLWFgYHTp0qI3qiIiIlKNYJSIiIlVVK4n21KlTnX9///33iYqK0hcX\nERGpUxSrREREpKo0q4GIiIiIiIiIB9Xq8l4AI0eOrO0qiIiInJdilYiIiLhDPdoiIiIiIiIiHqRE\nW0RERERERMSDlGiLiIiIiIiIeJASbREREREREREPUqItIiIiIiIi4kFKtEVEREREREQ8SIm2iIiI\niIiIiAcp0RYRERERERHxICXaIiIiIiIiIh6kRFtERERERETEg5Roi4iIiIiIiHiQEm0RERERERER\nD1KiLSIiIiIiIuJBSrRFREREREREPEiJtoiIiIiIiIgHKdEWERERERER8SCf2jhpYWEhK1asICsr\nC5vNxvDhw+nSpUttVEVERMQlxSoRERGpqlpJtL/77jtat27N7bffTkpKCs8//7y+vIiISJ2iWCUi\nIiJVVSuJ9o033uj8e1paGmFhYbVRDRERkQopVomIiEhVmQzDMGrr5LNmzSItLY1p06YRGxtbW9UQ\nERGpkGKViIiIuKtWE22AX3/9leXLl7No0SJMJlNtVkVERMQlxSoRERFxR63MOn7s2DFSU1MBaNmy\nJXa7nXPnztVGVURERFxSrBIREZGqqpVE+8cff2TDhg0AZGZmUlBQQKNGjWqjKiIiIi4pVomIiEhV\n1crQcavVysqVK0lLS8NqtTJixAi6du16sashIiJSIcUqERERqapaf0dbREREREREpD6plaHjIiIi\nIiIiIvWVEm0RERERERERD/Kp7QpcDG+++SY///wzJpOJBx98kDZt2tR2lc7r4MGDvPTSSzRv3hyA\nFi1acNttt7F8+XIcDgchISFMmjQJX19ftm3bxsaNGzGZTPTv35++ffvWcu1/c/LkSRYtWsStt95K\nfHw8qamplW5DUVERr776KikpKZjNZiZOnEiTJk3qTFtWrFjBsWPHnBMj3XbbbXTu3Nkr2rJmzRoO\nHTqEw+Fg2LBhtG7d2mvvy+/bsnv3bq+8L4WFhaxYsYKsrCxsNhvDhw8nNjbWa++LeIY3xS5vj1v1\nJV7Vl1hVH+JUfYhP9SU2uWrHzp07ve5+iBcy6rmDBw8a8+fPNwzDMBISEowZM2bUco0u7IcffjBe\nfPHFMttWrFhh/N///Z9hGIbxzjvvGJ9++qmRn59vTJ482cjNzTUKCwuNJ554wsjOzq6NKpeTn59v\nPPvss8aqVauMTZs2GYbhXhu+/PJLY/Xq1YZhGMb3339vvPTSS3WqLcuXLzd2795d7ri63pYDBw4Y\n8+bNMwzDMM6dO2eMHz/ea++Lq7Z46335+uuvjXXr1hmGYRjJycnG5MmTvfa+iGd4W+zy5rhVX+JV\nfYlV9SFO1Zf4VF9ik6t2eOP9EO9T74eOHzhwgOuuuw6Ayy67jNzcXPLy8mq5Vu47ePCgc7bbrl27\nsn//fo4ePUrr1q0JDAzEz8+Ptm3b8tNPP9VyTYv5+voyffp0QkNDndvcacMPP/xAt27dAGjfvj2H\nDx+ulXaA67a44g1tufrqq5k6dSoADRs2pLCw0Gvvi6u2OByOcsd5Q1tuvPFGbr/9dgDS0tIICwvz\n2vsinlEfYpe3xK36Eq/qS6yqD3GqvsSn+hKbXLXDlbreDvE+9X7oeGZmJq1atXL+HBwcTGZmJoGB\ngbVYqws7deoUCxYsICcnh7vuuovCwkJ8fX2B39qQmZlJcHCw8zMl2+sCi8WCxWIps82dNpTebjab\nMZlMFBUV4eNz8f/JumoLwObNm9mwYQONGzdmzJgxXtEWs9mMv78/AF988QWdOnVi3759XnlfXLXF\nbDZ75X0pMWvWLNLS0pg2bRpz5871yvsinuGNsctb41Z9iVf1JVbVhzhV3+JTfYlNpduxYcMGr70f\n4j0uuX8hhhesZta0aVPuuusuunfvTlJSEs899xx2u722q1Wr6tp969WrF40aNaJly5asW7eOtWvX\n0rZt20p9ti60ZdeuXXzxxRfMmjWLyZMnV7mcutaWX375xavvy/PPP8+vv/7KsmXLqlWfutAW8ay6\nfk8Vt35Tl+6VN8eq+hCn6kt8qi+xqXQ7HnjgAa+9H+I96v3Q8dDQ0DJPyzMyMi44rKq2hYWFceON\nN2IymYiOjiYkJITc3FysVisA6enphIaGlmtbyfa6yt/fv9JtKL29qKgIwzDq1JPD9u3b07JlS6B4\n6NTJkye9pi3ff/89H374ITNmzCAwMNCr78vv2+Kt9+XYsWOkpqYC0LJlS+x2OwEBAV57X6T6vC12\n1be45c2/F0vz1t+J9SFO1Yf4VF9ik6t2tGjRwuvuh3ifep9od+zYkZ07dwLF/6OFhoYSEBBQy7U6\nv23btvHRRx8BxcMHs7Ky6N27t7MdO3fu5Nprr+WKK67gl19+ITc3l4KCAg4fPsxVV11Vm1U/r/bt\n21e6DaXv23fffUe7du1qs+rlvPjiiyQlJQHF7/I1b97cK9qSl5fHmjVrmDZtGkFBQYD33hdXbfHW\n+/Ljjz+yYcMGoPj/+YKCAq+9L+IZ3ha76lvcqi///3nj78T6EKfqS3yqL7HJVTtef/11r7sf4n1M\nxiUw/uGdd97h0KFDmEwmHnroIecTrLoqPz+fV155hby8PIqKihgxYgSXX345y5cvx2azERERwcSJ\nE/Hx8WHnzp189NFHmEwm4uPj6dmzZ21XHyj+Yvi3v/2NlJQULBYLYWFhTJ48mRUrVlSqDQ6Hg1Wr\nVnHmzBl8fX2ZOHEiERERdaYt8fHxrF+/Hj8/P/z9/Zk4cSKNGzeu8235/PPPWbt2LU2bNnVue/TR\nR1m1apXX3RdXbenduzeffvqp190Xq9XKypUrSUtLw2q1MmLECOdyNt52X8RzvCl2eXPcqi/xqr7E\nqvoQp+pLfKovsclVO/z9/XnnnXe86n6I97kkEm0RERERERGRi6XeDx0XERERERERuZiUaIuIiIiI\niIh4kBJtEREREREREQ9Soi0iIiIiIiLiQUq0RURERERERDxIq62L/I5hGGzatIkvv/ySoqIiioqK\niImJ4Q9/+AOtWrUCipcamTRpEldeeWWF5axYsYLo6GiGDx9e6XMfPHiQVatWsWzZsnL7jh07xpo1\na0hPT8cwDIKCghg1apSzDp9//jn9+/d3s7UiIuKNFKtEROo2Jdoiv/P3v/+dgwcPMmPGDEJDQ3E4\nHPz73/9m7ty5vPLKKwQHB1/0OhmGwYIFC3jkkUfo3LkzAN988w0LFy5k5cqV5Ofn89FHH+nLi4jI\nJUKxSkSkblOiLVJKTk4OGzduZNGiRYSGhgJgNpsZMGAAPXr0ICAgoNxnduzYwT//+U/sdjuhoaE8\n8sgjREdHA5Cens6cOXNISUnh8ssvZ9KkSfj7+3PkyBH+8pe/UFhYiMlkYvTo0XTo0KHCemVnZ5OR\nkcEVV1zh3Hb99dfTpk0bGjRowJNPPklaWhpTpkzhxRdf5OzZs6xevZrMzEx8fHyYOHEirVu35quv\nvmLHjh0EBQVx5MgR/Pz8+OMf/0jTpk09fCVFRKSmKFaJiNR9ekdbpJQjR44QERHhMpi7+uKSmprK\na6+9xlNPPcWSJUvo3Lkzq1evdu7//vvvefLJJ1m+fDk5OTl88cUXALz22mvcdtttLFmyhGHDhpX5\njCuNGjWidevWPPfcc3zxxRckJycDEB4eDsCECROIiIhgyZIlmM1mFi1axM0338wrr7zCuHHjWLhw\nIXa7HYD9+/czaNAgli1bxnXXXceaNWuqdrFERKRWKFaJiNR96tEWKSU3N7fMcLvc3FxmzpwJQEFB\nAYMHD+b222937t+/fz/t2rVz9gr069ePNWvWOL8odOrUyVne9ddfz5EjR7jllltYtGiRs4yrrrrK\n+WWkIiaTidmzZ7NhwwY2btzIqlWruOyyy/jDH/7A9ddfX+bYxMREsrKy6NOnDwBXXnklwcHBHD58\nGIDLLruMuLg4Z53+/e9/u3+hRESk1ihWiYjUfUq0RUoJDg4mIyPD+XPDhg1ZsmQJAKtWraKwsLDM\n8efOnaNhw4bOnwMDA4Hi4XMl5ZXel5ubC8C2bdvYtGkT+fn5OBwODMO4YN0CAwMZOXIkI0eOJDMz\nk6+++oolS5aU+SIExV+4CgsLmTp1qnNbfn4+OTk5AAQFBZVpX8l2ERHxDopVIiJ1nxJtkVLi4uLI\nysri+PHjXH755Rc8vnHjxhw5csT5c05ODiaTiUaNGjl/Lr2vYcOGpKen89prrzFv3jxatmzJmTNn\nePzxx897nrS0NFJSUpyztoaEhDBs2DB27NjBqVOnnOcDCA0NJTAw0Pmlq7SvvvqKc+fOlalT6S8z\nIiJS9ylWiYjUfXpHW6SUgIAAhg8fzvLlyzl79iwADoeDr7/+mh07djiH3ZXo0KEDhw4dIikpCYAt\nW7bQsWNHLBYLAHv37iUnJweHw8GuXbu46qqrOHfuHA0aNCAmJga73c7nn38OFA/3q0haWhqLFi3i\n2LFjzm1Hjx4lNTWV1q1bY7FYKCgowG63ExkZSVhYGDt37gSKezKWLFniLD8xMZHjx48DsHPnTq66\n6ipPXDoREblIFKtEROo+9WiL/M7tt99OUFAQixcvxmazYbPZiImJ4YknnqBjx45ljg0PD+eRRx5x\nTuASFRXFww8/7NzfpUsXFi9eTHJyMq1bt6ZPnz74+vrSqVMnHn/8cUJCQhg1ahQ//fQTc+bM4f77\n73dZp7i4OB5++GFWr15NXl4eDoeDkJAQpk6dSmRkJEFBQQQFBfHwww+zYMECpkyZwurVq3nvvfcw\nmUwMGTIEf39/ANq2bcsnn3zCoUOH8Pf35+mnn665iykiIjVCsUpEpG4zGZV54UZE6oWvvvqKbdu2\nMXv27NquioiIiEuKVSJSH2jouIiIiIiIiIgHKdEWERERERER8SANHRcRERERERHxIPVoi4iIiIiI\niHiQEm0RERERERERD1KiLSIiIiIiIuJBSrRFREREREREPEiJtoiIiIiIiIgHKdEWERERERER8SAl\n2iIiIiIiIiIepERbRERERERExIOUaIuIiIiIiIh4kBJtEREREREREQ9Soi21rm3btqxdu7ZW6zBr\n1iweeOCBWq2DiIjUXYpVIiLiDiXaIsDzzz/PW2+9VdvVuKAjR47w2WefXfTzJiQkMH78eG688Ua6\nd+/O+PHjSUhIOO9nNmzYwB133EGnTp0YOHAgL7/8Mna7vcwxq1evpm/fvnTo0IFbbrmFjz76qCab\nISLi1RSrzq8qsaqE1Wpl6NCh9O3bt8z2H3/8kTFjxtCtWzduuOEGJk6cWOkyReTSpkRbxIt8+OGH\nF/3Li81mY9y4cQQHB7NhwwY+/fRTQkNDGTt2LDabzeVnvv32W6ZNm8bDDz/MN998w7Jly/joo49Y\nuXKl85jXX3+dv//97yxZsoRdu3YxefJkVq5cydmzZy9W00REpAZ4S6wqbcWKFZw5c6bMtuTkZB58\n8EGuvvpqtm7dysaNGyksLGTSpEk11QwRqUeUaEud88477zB06FCuvfZaevXqxaJFiygqKnLu37p1\nKyNGjKBLly7ccMMNTJ06lfT0dOf+tm3b8uabbzJo0CAefPBB57aPP/6YyZMn06VLF3r06MGqVauc\nn5k2bRr33HMPAN988w1t27bl+++/Z+TIkVx77bUMGjSIrVu3Oo8/ceIE9913Hx06dGDAgAFs3ryZ\nW2+9lWXLllWqjadOnaJt27b84x//oHfv3syYMQOAffv2MWrUKLp168Z1113HuHHjnE/On3zySd58\n800++eQT2rdvT2pqaqWuV2nr1q2jffv2Lv8MGjTI5We2b9/OiRMnmD59OmFhYQQHB/PMM8+QkJBQ\n5pqUtmbNGnr16sXgwYPx8/Ojbdu2PPjgg7z99ts4HA6sViurV6/mj3/8Ix06dKBBgwbEx8ezadMm\noqOjK3UNRURqk2KV98eqEj/88APvvvuu8z6USEpKon///kydOpWAgADCwsK45557OHToEFlZWZW6\nhiJyCTNEallcXJzx/vvvG4ZhGGvXrjW6detm7Nq1y7Db7cahQ4eM3r17G8uWLTMMwzCSkpKMdu3a\nGWvWrDHsdruRnJxsDBkyxHj66afLlHfrrbcaP//8s+FwOJzbBg4caOzatcsoKioy/vGPfxhxcXHG\n4cOHDcMwjGeeeca4++67DcMwjJ07dxpxcXHGmDFjjJMnTxqFhYXGM888Y9xwww3O8u677z5j5MiR\nRkpKipGWlmaMHTvW6NSpk7F06dJKtTkhIcGIi4sz7rnnHuPMmTOGw+EwCgsLjW7duhmLFi0ybDab\nce7cOWP06NHG//zP/zg/d9999xlPPvmk8+cLXS9PeOmll4yBAweW2z5w4EDjxRdfdPmZnj17GitX\nriyzbc+ePUZcXJzxyy+/OP++bt06Y9iwYUanTp2MO++809i+fbvH6i0i4kmKVfUvVhmGYRQWFhpD\nhgwx1qxZY3zwwQdGnz59znue//f//p/RuXNno6ioqNp1FpH6TT3aUqesWbOGP/zhD3Tt2hWz2cyV\nV17JmDFjnBPQREVFsW3bNu6++27MZjORkZH07NmTffv2lSmnR48etGnTBpPJ5NzWr18/unbtisVi\nYejQoQAcPny4wrrcf//9NG/eHD8/PwYPHkx6ejrJycmkpqby7bffMnbsWCIiIggLC2PGjBnk5ua6\n3d7BgwcTHR2NyWTCz8+PLVu2MHnyZHx8fGjUqBH9+vUr1zZ3rpcnZGRk0Lhx43LbQ0NDSUtLc/mZ\n9PT0cp8JDQ117isZnvfBBx+wdOlS/vOf/3DDDTfwyCOPcOLECY/VXUSkJihW1Y9YBcVDxkNDQ7n3\n3nsveI7Dhw+zbNkyJk2ahMViqVZ9RaT+86ntCoiUduzYMX7++Wf++te/OrcZhgEUT1Ti5+fH+vXr\nef/990lMTMRut2O328sNN27evHm5smNjY51/DwgIAKCgoKDCurRo0cL5d39/f+fx2dnZ5c5x+eWX\nExISUul2ujoHwFdffcVf//pXfv31V4qKinA4HBUOrYPKXa+aVPrLYVVMmDDBeR2feOIJ1q1bx4YN\nG3j00Uc9UT0RkRqhWFU/YtWBAwd45513+Ne//nXBeLZjxw4mT57MfffdV26IuYiIK0q0pU7x9/dn\n4sSJFQaxf/3rXyxcuJAFCxYwcOBAGjRowOLFi/nkk0/KHOcqaJvN7g3gqOh4h8MBgK+vr1vluVK6\njG+++Yann36aZ555hpEjR9KwYUPee+895syZU+HnL3S9fm/dunXMnj3b5b6YmBg+/fTTctvDw8PJ\nzMwstz0jI4OIiAiXZUVERJT7TEZGBgCRkZHObaW/8FksFpo1a0ZSUtKFGyIiUosUq7w/VlmtVqZP\nn86UKVNcPvAobe3atcybN4+ZM2cyYsSISrVBRESJttQpLVu25McffyyzLS0tDX9/fxo2bMjevXtp\n3bq1czgdcN7hajUhKioKKJ4kpnXr1gD8+uuvLgO8O/bt20fDhg0ZPXp0mW3nc6Hr9XvDhg1j2LBh\nbtWrU6dOrFq1irS0NMLDwwFITU3l5MmTdO3atcLP/L7u3333HZGRkbRo0YLg4GB8fHw4cOAAV111\nFQB2u53Tp0/Tv39/t+onInKxKVZ5f6z6/vvv+fnnn1m2bJlzcjir1UpBQQHXX389r776Kl26dGH9\n+vUsWLCA1atXVxjzRERc0TvaUqc88MADbNy4kU2bNmGz2UhISODhhx9m/vz5QPHwtbNnz3L69Gmy\nsrJYvnw5eXl5ZGZmkpeXd1HqGB0dTbt27XjjjTfIyMggPT2dBQsWEBgYWK1ymzdvTn5+PgcPHiQ3\nN5e///3vHD9+HIDExESgeBjh6dOnyc7Oxmq1XvB6ecJNN91EmzZteOGFF5ztff7554mLi+PGG28E\nYMuWLcTHxzvXyX7ggQfYvn07GzduxGq1cuDAAf76178yevRoTCYToaGh3HnnnSxfvpyDBw9SUFDA\nK6+8Ql5enttfrkRELjbFKu+PVddeey1bt25l/fr1zj+PP/44UVFRrF+/nvbt23PmzBmeffZZFi9e\nrCRbRNymRFvqlFtvvZWnn36al19+mc6dO3PffffRqVMnZs2aBcA999xDt27dGDJkCEOGDMHf35/F\nixcTHBxMnz59zvsemye98MIL5OTk0LNnT+6//37uuecegoKCqvXO8sCBA7njjju4//776d+/PwkJ\nCbz66qu0adOGIUOGcOLECUaOHMnRo0e5+eabOXLkyAWvlydYLBZef/118vPz6du3L/3796eoqIjX\nX3/dORlMdnY2x48fd75zd+211/LSSy/x6quv0rlzZyZNmsSoUaMYM2aMs9zZs2czcOBAxo0bx3XX\nXcc333zD3/72N2cvjIhIXaVY5f2xys/Pj+jo6DJ/goODsVgsREdH4+fnx7/+9S/y8vJ47LHHyi0z\ntm7dOo/VXUTqJ5NR8s1YRNxSegIXm81Gp06deO655xg+fHgt10xERKSYYpWISO1Qj7ZIFYwfP57R\no0eTnp5OYWEhy5cvx8fHh5tuuqm2qyYiIgIoVomI1KaL0qN98uRJFi1axK233kp8fDypqaksX74c\nh8NBSEgIkyZN8sismCIXS1JSEv/7v//Lrl27sNvttG7dmqlTp9K9e3fGjRvHzp07z/v577//Xmtw\nitQhilNSHylWiYjUnhpPtAsKCliwYAHR0dHExsYSHx/Pq6++SqdOnejevTvvvvsuERERDBw4sCar\nISIi4pLilIiIiHhajQ8d9/X1Zfr06YSGhjq3HTx40Dl7Y9euXdm/f39NV0NERMQlxSkRERHxtBpf\nR9tisZQbdlRYWOgcghccHFztNR1FRESqSnFKREREPK3GE21PKVmb0VNiYmI8XmZtUDvqFrWjbqkP\n7agPbYDf2hETE1PbValRilWuqR11R31oA6gddU19a0d9j1VycdTKrOP+/v5YrVYA0tPTywzXExER\nqW2KUyIiIlIdtZJot2/f3jnT5c6dO7n22mtroxoiIiIuKU6JiIhIddT40PFjx47xt7/9jZSUFCwW\nCzt37mTy5MmsWLGCzz//nIiICG6++eaaroaIiIhLilMiIiLiaTWeaLdq1Ypnn3223PbZs2fX9KlF\nREQuSHFKREREPK1Who6LiIiIiIiIlHj11VcZMGBAbVfDY5Roi4iIiIiI1HMrV67E4XBU+vjdu3ez\nY8eOGqxRWRMnTmTLli0X7Xw1TYm2iIiIiIhIPXb48GGWLFniVqL91ltvOScGFfcp0RYREREREakH\nPvnkE4YOHUqnTp3o1q0bjz32GB999BF33nknAJ06deIvf/kLAFu3bmXEiBF06dKFG264galTp5Ke\nng7A3XffzWeffcbq1avp2rUrAHa7neXLlzNo0CA6duxIv379eOONN6pdv6SkJACWLVvwaXAxAAAg\nAElEQVRGr169gOJh5O3bty/zp23btixfvtxZ1jvvvMPQoUO59tpr6dWrF4sWLaKoqKh6F9CDlGiL\niIiIiIh4uaSkJJ566in++Mc/smfPHj799FOgOKGeO3cuAHv37uWhhx4iOTmZRx99lDvuuINdu3bx\n8ccfc/ToURYsWADAe++9R7NmzRg3bhy7d+8GYPny5axbt46lS5eyZ88eFixYwMqVK1m3bl216rdw\n4cJyx06cOJEDBw44/8ycOZPGjRtz++23A/DPf/6TpUuXMmfOHPbs2cPrr7/Oxo0bWbVqVfUuogcp\n0RYREREREfFyOTk52O12AgICMJlMhIaGsmzZMhYvXlzu2KioKLZt28bdd9+N2WwmMjKSnj17sm/f\nPpdlOxwO3n33XcaNG0fbtm2xWCx07dqVu+66i/fff9/j9Stt//79zJ8/nxdffJHmzZsDsGbNGv7w\nhz/QtWtXzGYzV155JWPGjGHt2rWVqsvFUOPLe4mIiIiIiEjNat26Nffffz8PPvggcXFx3HDDDQwe\nPJiOHTu6PH79+vW8//77JCYmYrfbsdvtREdHuzw2PT2dzMxM5s6dy/PPP+/cbhgGkZGRNVK/kvNO\nnjyZ8ePHO4eVAxw7doyff/6Zv/71r2XqAmC1WvHz86tUnWqSEm0REREREZF6YObMmYwdO5bt27fz\nn//8h//5n//hoYceIjY2tsxx//rXv1i4cCELFixg4MCBNGjQgMWLF/PJJ5+4LNff3x+Al19+uVpL\ncFVUv6lTp5Y71m63M3XqVNq1a8f48ePL1WfixIk8+OCDVa5LTdPQcRERERERES/ncDjIzMykSZMm\nDB8+nFdeeYU5c+bw9ttvlzt27969tG7dmqFDh9KgQQOACoeNAwQFBREREcGPP/5YZntSUhJWq9Xj\n9QNYvHgxSUlJLFiwAJPJVGZfy5Yty9UlLS2N3NzcStXlYlCiLSIiIiIi4uU2bNjAkCFD2L9/P4Zh\nkJubyw8//ECrVq0ICAgA4OjRo+Tk5NCiRQvOnj3L6dOnycrKYvny5eTl5ZGZmUleXh4AAQEBnDx5\nkuzsbOx2Ow888ADvvPMOO3bswG6389NPP3Hvvfc6ZzGvTv1+79NPP+Uf//gHK1asICgoqNz+Bx54\ngI0bN7Jp0yZsNhsJCQk8/PDDzJ8/vxpX0LMu2aHjO77Yz/4fzxLbPJAO15W/uSIiIrUpK/Nbzqb+\nRIDPlTQO6Vbb1RERkTpu6NChnD59milTppCamkpgYCBdunThpZdeonHjxlx11VWMGDGC+++/n0cf\nfZS9e/cyZMgQgoKCeOCBB1i8eDEPPPAAffr0YevWrdx77728+OKL9OvXj40bN/LQQw+Rn5/P9OnT\nSUtLIyoqijvuuINHHnmk2vX7vTVr1pCXl8ewYcPKbI+JieHTTz/l1ltvJS0tjZdffpmnn36asLAw\nBgwYwB//+P/Zu/e4qKv88eOvmWEQELkLRHkjL23eVjG3fkoqigwsqXlb++5imbaJl2A1RcDrF0PF\nLMNFrK1NozVXV9e+yworlZm27Zrm1qYl5qVQE1Euw8AAAzO/P4jRiUEYHGWk9/Px8PGQzzlzzud8\nsM68P+f2vF2epT0oTA2rxh3cpUuX7FLO999d5dDH0EGhQgGYgGpTHaHD4J6ufnap404KCgqy27Np\nS9IOxyLtcBztoQ1wvR1BQUFtfSu3lT1+V1VVBew/sww9deZrrqgYe38KLi5dbrn8ttDe/h3fzdpD\nG0Da4WjaWzvae18l7oyf3NTxQx+Dq9IJpUKBQqFAqVDgqnTi0MdtfWdCCCEEjYJsAD117D+zrI3u\nSAghhBC2+klNHf/i07N0UHhbTeugUPHFp2dlGrkQQog2U1Z6pFGQ3UBPHWWlR2QauRBCCIezYsUK\n9uzZc9M8+/btM5+D/VPwkwq0vy2oRIH1QFsBfFugZ8BDd/aehBBCiAYluuPNpP9HAm0hhBAOZ9Wq\nVaxataqtb8Oh/KSmjnfr4kZTC9JNQLcurnfydoQQQggL3u6Dmkn/+R26EyGEEELcijYZ0TYajfzh\nD3+goKAAJycnnnnmGe69997bXu+Ah4L5+puruCoaN7vaVCfTxoUQQpi1RV/l6TUU14sqq9PHXVHJ\naLYQQghxl2iTEe2jR49SWVnJ6tWrmT17dpOHlN8OocNAb6zFaDJhMpkwmkzojbWEDrtjtyCEEOIu\n0FZ91dj7U3BFZXGtYddxIYQQQtwd2mRE+/vvv6dnz54ABAYGUlRUhNFoRKm8/XH/PV39mNoVvv36\nKl+cLKR7F1cZyRZCCNFIW/VVLi5dGNd3K2WlR6iqy8dF1VtGsoUQQoi7TJuco338+HH+/ve/k5SU\nxOXLl0lISGDTpk14eXnd6VsRQgghrJK+SgghxE/Rzp07mTp1arP59u3bx6OPPoq7u/st17l48WI0\nGg1hYWG3XNaNdDodK1eu5Msvv8RkMhEVFUVcXBwAYWFhKJVKnJyujz3n5uYCUFhYyJIlS/j222/p\n2LEjy5cv56GHbNs1u01GtAcNGsSpU6dYsWIFXbt2bdGat0uXLtn1HhoOpL/bSTsci7TDsbSHdrSH\nNsD1dgQFBbX1rbSY9FX2I+1wHO2hDSDtcDTtrR2O0lfVXSui9vsLON1zHyrfznemzro60tLSWhRo\np6enM3jwYLsE2mlpabdchjUvvfQSarWaffv2UVlZyYQJExgyZAjDhtWvG966dSv33Xdfo88tWbKE\nRx99lBkzZvCvf/2Lt99+++4ItAGmTZtm/vv8+fPx8PBoq1sRQgghrJK+SgghxJ1m1Fdybf1SavJP\nYiwtRuntg3OvB/FdtBqlq5td6qitrWXFihUcPXoUo9FInz59WLt2LXPmzKG8vByNRsMf/vAHDAYD\nycnJlJaWUltbS1xcHNHR0SQmJnLu3DliYmJYs2YNvXv3JiUlhS+++ILa2lrmzJnDpEmTGtV75MgR\n1qxZQ3V1NSaTieeee47IyEhiYmKYPHkyHTp0YOPGjeb8Fy9eZPHixcTExHDs2DFSU1PRarV4e3uz\nYcMGunTpQmFhITNnziQ7O7tRfeHh4XTv3h2lUom7uzsPPPAAp0+fNgfa1nz//fecOHGC1157DYCH\nH36Yhx9+2OZn3CaboZ0/f57NmzcD8J///IcePXrckfXZQgghREtJXyWEEKItXFu/lKp/f4Sx5CqY\njBiLr1L174+4tn6p3eo4fPgwFy5cIDc3l/3799OzZ0+OHz9OamoqKpWK3NxcunTpQlpaGqNGjSIn\nJ4fU1FSSk5MxGAysWbMGgKysLIYMGcLatWtRKpXk5OSwa9cuNm3aRH5+fqN6161bR2JiIvv27SMz\nM5P33nvPIl2j0ZCbm0tubi4pKSn4+/szbtw4dDodsbGxLFiwgLy8PKZPn26eAh4QEGA1yAZ45JFH\nuOeee4D6aeTHjx9n4MCB5vS0tDQee+wxJk2axPvvvw/A119/zX333ceGDRuIiIjgN7/5DSdPnrT5\nGbfJN4auXbtiMplITEzkr3/9K9OnT2+L2xBCCCGaJH2VEEKIO63uWhE1p60HdTWnT1J3rcgu9fj4\n+HDmzBny8vLQ6/XEx8cTGhraKN/mzZuZOXMmACEhIVRXV1NU1PgeDhw4wPTp01Eqlfj4+BAeHs7+\n/fsb5fP19WXv3r2cOXOG7t27s2HDBqv3V1ZWRkJCAmlpaXh6enLs2DECAgLMI9HR0dF89913LV6y\nUFNTw8KFCwkLC2PQoEEAREVF8etf/5q//e1vJCYmsmjRIr799lu0Wi35+fkMGTKEf/zjH4wbN455\n8+ZRW1vboroatMnUcaVSydy5c9uiaiGEEKJFpK8SQghxp9V+fwFjSbHVNGNpMbWXL9plvfaAAQNY\nunQpWVlZJCQkEBYWxooVKxrlO3ToEJmZmZSUlKBQKOqPRzYaG+UrLy8nPj4elar+eMrq6mo0Gk2j\nfKmpqWRmZjJjxgxcXFxYsGCB1XzJyclMnDiRkJAQALRaLQUFBRZ5nZ2dKS4ubnZNfUVFBfPnzycg\nIIBVq1aZrz///PPmvw8ZMoShQ4dy+PBh7rnnHnx9fRkzZgwAU6ZMYd26dZw/f958GklLtNkabSGE\nEEIIIYQQ1zndcx9Kbx+MxVcbpSm9fHAKbH5jzpbSaDRoNBpKS0tJSkrijTfeYMqUKeZ0g8FAfHw8\nGzduZMSIEdTU1DBgwACrZfn7+5ORkUHv3r1vWqefnx/Lli1j2bJlHD58mPnz5zcaSd++fTulpaXM\nmTPHovzg4GD27NljUxtra2uZN28evXr1IikpyXy9pqaGb7/9ll69epmv1dXVoVarCQoKoqKiwnyk\np0KhQKlU2rx8TBabCSGEEEIIIYQDUPl2xrnXg1bTnHs9aLfdx3fv3k1GRgYAXl5eBAcHA6BWqzEa\njeh0OvR6PZWVlfTr1w+Abdu2oVarqaysBMDJyQmtVgvUH5W1Y8cOoD64TU1N5cSJExZ1GgwGYmJi\nuHLlCgB9+/bFycnJIoDNz89ny5YtvPjiixbXBw4cSFFREZ9//jkABQUFLFq0iOZOqs7KyqJjx44W\nQTaAXq/nV7/6FcePHwfg1KlTfPbZZzzyyCP06dMHf39/du3aBUBOTg4eHh507dq1Rc+2gYxoCyGE\nEEIIIYSD8F20un7X8dM/7DrudX3XcXsZPXo0SUlJjB07FpVKRbdu3Vi7di0eHh6EhIQwatQoXn31\nVWbNmsWECRPw9fUlNjaWMWPGMHv2bLKzs9FoNEybNo3Vq1cTHx/PqlWriIiIACA0NJQ+ffpY1KlW\nq5k8eTJPPfUUUL9Ea+nSpbi6uprzbN26lcrKSnMegJEjR7JkyRLS09NJSUmhoqICtVpNXFwcCoXi\npruO79ixA71ebzHlXKPRmEfqV6xYQXV1Na6urqxfv54uXboA9UeXLVmyhNdeew1fX19eeeUVi/O2\nW0Jhau41gIOQs0mtk3Y4FmmHY2kP7WgPbQDHO5v0dpG+yjpph+NoD20AaYejaW/tcJS+qu5aEbWX\nL+IUeO8dO0db2I+MaAshhBBCCCGEg1H5dpYA+y4ma7SFEEIIIYQQQgg7kkBbCCGEEEIIIYSwIwm0\nhRBCCCGEEEIIO5JAWwghhBBCCCGEsCMJtIUQQgghhBBCCDuSQFsIIYQQQgghhLAjCbSFEEIIIYQQ\nQgg7kkBbCCGEEEIIIQQAO3fubFG+ffv2odPp7FLn4sWL+eCDD+xS1o99+eWXjBkzhuTkZIvrZ86c\nISYmhsjISB577DH2799vTtu9ezdRUVFERkYyY8YMzp07Z3O9EmgLIYQQQgghhIMp0lVz/EIpRbrq\nO1ZnXV0daWlpLcqbnp5ut0A7LS2NsLAwu5R1oyNHjpCUlMSAAQMapcXFxTFhwgRycnJ48cUXSUhI\noLy8nDNnzpCWlsabb75JTk4OY8eOJSkpyea6JdAWQgghhBBCCAdRWVPLwj1fMP2tT5n9zmdMf+tT\nFu75gsqaWrvVUVtbS3JyMhEREYSHhzNv3jx0Oh0zZsygvLwcjUZDQUEBZ8+e5YknniAyMpLw8HCy\ns7MBSExM5Ny5c8TExHD06FG0Wi2LFi0iIiKC0aNHs3v3bqv1HjlyhMcff9w8WpyTkwNATEwM7777\nLrm5uWg0GvOf/v37k5WVBcCxY8eYNGkS4eHhTJ06lYKCAgAKCwuJjo62Wp+Pjw/bt2+nR48eFtfr\n6uqYM2cO48ePB6BPnz6o1WouXLjAmTNn6N69OwEBAQA8/PDDnD592uZnLIG2EEIIIYQQQjiIZdkn\n+ejMVa5W1GAErlbU8NGZqyzLPmm3Og4fPsyFCxfIzc1l//799OzZk+PHj5OamopKpSI3N5cuXbqQ\nlpbGqFGjyMnJITU1leTkZAwGA2vWrAEgKyuLIUOGsHbtWpRKJTk5OezatYtNmzaRn5/fqN5169aR\nmJjIvn37yMzM5L333rNI12g05ObmkpubS0pKCv7+/owbNw6dTkdsbCwLFiwgLy+P6dOnExcXB0BA\nQID5BcCP9ezZE3d390bXVSoVUVFRODk5AfD5558D0L17dwYOHMh3331Hfn4+JpOJ/fv38//+3/+z\n+Rk72fwJO6iqquL3v/89FRUVGAwGJk+ezM9//vO2uBUhhBDCKumrhBBC3GlFumpOXtZaTTt5WUuR\nrprO7h1uuR4fHx/OnDlDXl4ew4cPJz4+HoALFy5Y5Nu8eTMmkwmAkJAQqqurKSoqIigoyCLfgQMH\neP3111Eqlfj4+BAeHs7+/fvp3bu3RT5fX1/27t2Lr68v999/Pxs2bLB6f2VlZSQkJLB+/Xo8PT05\nePAgAQEBDBs2DIDo6GhWrlzJpUuXGt2Lrb7//nsWLlzI0qVLcXV1xdXVlQULFjBhwgQ6duyIq6sr\nb7/9ts3ltkmg/eGHHxIUFMT//M//UFxczP/+7/+ycePGtrgVIYQQwirpq4QQQtxpF0r1FFfUWE0r\nrqzhYqneLoH2gAEDWLp0KVlZWSQkJBAWFsaKFSsa5Tt06BCZmZmUlJSgUCgwmUwYjcZG+crLy4mP\nj0elUgFQXV2NRqNplC81NZXMzExmzJiBi4sLCxYssJovOTmZiRMnEhISAoBWq6WgoMAir7OzM8XF\nxbcUaJ89e5bf/va3PPvss4wbNw6AkydPmkfbg4KCePfdd4mNjSU7OxuFQtHispsNtE+ePMnRo0eZ\nPn06J0+eJD09HYVCQWxsrNVF5S3RqVMnvv32WwAqKiro1KlTq8oRQgghQPoqIYQQ7cN9Xq74dHTm\nqpVg28fNmXu9XO1WV8M66NLSUpKSknjjjTeYMmWKOd1gMBAfH8/GjRsZMWIENTU1Tfap/v7+ZGRk\nNBrB/jE/Pz+WLVvGsmXLOHz4MPPnzyc0NNQiz/bt2yktLWXOnDkW5QcHB7Nnz55baLGlwsJCZs2a\nxaJFi4iMjDRf/+STTxg0aJA5gI+KimLx4sWUlJTg4+PT4vKbDbTffPNNZs2aBcC2bduYNm0avXr1\nIj09vdVfXoYNG8aHH37I/PnzqaioYMmSJc1+5lanBNypMtuCtMOxSDscS3toR3toA9zedkhf5fik\nHY6jPbQBpB2ORtphH53dO/BgoAcfnbnaKO3BQA+7jGZD/fFVly9fZu7cuXh5eREcHAyAWq3GaDSi\n0+kwGo1UVlbSr18/oL5/VavVVFZWAuDk5IRWqyUwMJCwsDB27NjB8uXLqa2tJS0tjfHjx9O3b19z\nnQaDgaeffpoNGzbg7+9P3759cXJyQqm8vm1Yfn4+W7ZsYefOnRbXBw4cSFFREZ9//jkDBw6koKCA\n9PR00tLSbBplvtGKFSt48sknLYJsgB49evCnP/2JkpISvL29OXjwIJ07d8bb29um8psNtGtra+nT\npw9Xr17l6tWrjBw50ny9tT766CP8/PxITk7m/PnzbNmyhbVr1970M5cuXWp1fdYEBQXZvcy2IO1w\nLNIOx9Ie2tEe2gDX23G7vsBIX+XYpB2Ooz20AaQdjqa9taOtg+2U6AdZln2Sk5e1FFfW4OPmzIOB\nHqREP2i3OkaPHk1SUhJjx45FpVLRrVs31q5di4eHByEhIYwaNYpXX32VWbNmMWHCBHx9fYmNjWXM\nmDHMnj2b7OxsNBoN06ZNY/Xq1cTHx7Nq1SoiIiIACA0NpU+fPhZ1qtVqJk+ezFNPPQWAUqk0r4tu\nsHXrViorK815AEaOHMmSJUtIT08nJSWFiooK1Go1cXFxKBQKCgsLmTlzptUN0TZu3Ehubi4lJSXU\n1dVx7NgxwsPD+c1vfsOBAwc4d+4c77zzjjn/4sWLCQsL48SJE0ybNg0Ad3d3Nm7caHNA32ygrVQq\nuXbtGnl5eeY58nq9nrq6OpsqutGpU6cYOHAgUL+zW0lJCUaj0eKthRBCCNFS0lcJIYRoL9ycndgw\ncQBFumouluq518vVbiPZDby8vNi8ebPVtD/96U/mvw8ePJhFixaZf24IpIFGG5mtX7++2XrHjx9v\nPlLrRg1HeI0fP57U1FSrnx00aBB/+ctfGl2/2a7j8fHx5o3efuzUqVNN3uf8+fOZP39+k+kt0ey3\nhcmTJ5OQkMDRo0eZPHkyUP9Qx4wZ0+pKAwMD+eabbwAoKirCxcVFvrgIIYRoNemrhBBCtDed3Tvw\n8/u87B5kizuj2RHtRx55hEceecTiWlxc3C1tChMeHs7mzZtZsWIFRqORZ555ptVlCSGEENJXCSGE\nEMKRtMmu4w1buQshhBD2IH2VEEIIIRxJs3Pg3nzzTX7xi18A13dyXbp0qcXcfSGEEKItSV8lhBBC\nCEfSJruOCyGEEPYkfZUQQgghHEmzI9q3YydXIYQQwp6krxJCCCGEI2l2RLthJ1dPT08SEhKAW9/J\nVQghhLAn6auEEEII4Uhatev4c889h4eHx227KSGEEMIW0lcJIYQQwpE0G2jX1NSQnZ3NF198QVlZ\nGV5eXgwePJjIyEicnJr9uBBCCHHbSV8lhBBC2MfOnTuZOnVqs/n27dvHo48+iru7+y3XuXjxYjQa\nDWFhYbdc1o2WLFnC4cOHLe4xLS3NfCLJ3r17WbVqFStXrmT8+PHmPO+//z7p6enU1NTg5eXFqlWr\n6N27t011N/vt4/XXX6eiooLo6Gg6duxIeXk5H3zwAYWFhcyaNcumyoQQQojbQfoqIYQQ7U2FzoC2\ntAYPL2c6uqvvSJ11dXWkpaW1KNBOT09n8ODBdgm009LSbrmMpixYsICJEyc2uv7aa6/x2Wef0aNH\nD4vrhYWFLFmyhHfeeYeePXvypz/9ieXLl7Njxw6b6m020D59+jQvvfQSCoXCfC0kJITnn3/epoqE\nEEKI20X6KiGEEO2FocbI+zkXKCrUU1lRh1tHFZ0DXBkdeR9q52b3sm6R2tpaVqxYwdGjRzEajfTp\n04e1a9cyZ84cysvL0Wg0/OEPf8BgMJCcnExpaSm1tbXExcURHR1NYmIi586dIyYmhjVr1tC7d29S\nUlL44osvqK2tZc6cOUyaNKlRvUeOHGHNmjVUV1djMpl47rnniIyMJCYmhsmTJ9OhQwc2btxozn/x\n4kUWL15MTEwMx44dIzU1Fa1Wi7e3Nxs2bKBLly4UFhYyc+ZMsrOzbXoGv/jFL3jmmWeYPn26xXUn\nJyc2bNhAz549gfrvEy+//LLNz7hFvymDwWDxs+ziKoQQwtFIXyWEEKI9eD/nAt+e1VFZUd+PVVbU\n8e1ZHe/nXLBbHYcPH+bChQvk5uayf/9+evbsyfHjx0lNTUWlUpGbm0uXLl1IS0tj1KhR5OTkkJqa\nSnJyMgaDgTVr1gCQlZXFkCFDWLt2LUqlkpycHHbt2sWmTZvIz89vVO+6detITExk3759ZGZm8t57\n71mkazQacnNzyc3NJSUlBX9/f8aNG4dOpyM2NpYFCxaQl5fH9OnTiYuLAyAgIOCmQXZ2djaTJk0i\nKiqKLVu2YDKZABg4cKDFC/oGvr6+PProo+afP/roIwYOHGjzM252RHvo0KEsX76cESNG0LFjR3Q6\nHYcOHeLhhx+2uTIhhBDidpC+SgghRHtQoTNQVKi3mlZUqKdCZ7DLNHIfHx/OnDlDXl4ew4cPJz4+\nHoALFyyD+c2bN5sD05CQEKqrqykqKiIoKMgi34EDB3j99ddRKpX4+PgQHh7O/v37G61r9vX1Ze/e\nvfj6+nL//fezYcMGq/dXVlZGQkIC69evx9PTk4MHDxIQEMCwYcMAiI6OZuXKlVy6dKnRvdzooYce\nwmg0MnHiRK5cucKMGTMIDAxkwoQJLXpOn3zyCdu2bWPbtm0tyn+jZgPtadOm0bVrV44fP45Wq8XT\n05Px48fLlxchhBAOQ/oqIYQQ7YG2tMY8kv1j+so6tGX2CbQHDBjA0qVLycrKIiEhgbCwMFasWNEo\n36FDh8jMzKSkpASFQoHJZMJoNDbKV15eTnx8PCqVCoDq6mo0Gk2jfKmpqWRmZjJjxgxcXFxYsGCB\n1XzJyclMnDiRkJAQALRaLQUFBRZ5nZ2dKS4uvmmgfeP09XvuuYdf/epXHDhwoEWB9nvvvUdKSgpb\ntmwxTyO3RbOBtkKhYNiwYea3Bw0++eSTRkepCCGEEG1B+iohhBDtgYeXM24dVVaDbVc3FR6e9tsU\nTaPRoNFoKC0tJSkpiTfeeIMpU6aY0w0GA/Hx8WzcuJERI0ZQU1Nj3q37x/z9/cnIyGh2Z24/Pz+W\nLVvGsmXLOHz4MPPnzyc0NNQiz/bt2yktLWXOnDkW5QcHB7Nnzx6b2pifn0/37t1xdnYG6temt+Q0\nkn/+85+88MIL/PGPf+T++++3qc4GrV5Nv3PnztZ+VAghhLgjpK8SQghxN+norqZzgKvVtM4Brnbb\nfXz37t1kZGQA4OXlRXBwMABqtRqj0YhOp0Ov11NZWUm/fv0A2LZtG2q1msrKSqB+0zCtVgtAWFiY\neVfu2tpaUlNTOXHihEWdBoOBmJgYrly5AkDfvn1xcnJCqbwekubn57NlyxZefPFFi+sDBw6kqKiI\nzz//HICCggIWLVpkntbelOXLl/PWW28B9dPR3333XUaOHHnTz+j1ehITE9m0aVOrg2xowYi2EEII\nIYQQQog7Y3TkfeZdx/WVdbi6Xd913G51jB5NUlISY8eORaVS0a1bN9auXYuHhwchISGMGjWKV199\nlVmzZjFhwgR8fX2JjY1lzJgxzJ49m+zsbDQaDdOmTWP16tXEx8ezatUqIiIiAAgNDaVPnz4WdarV\naiZPnsxTTz0FgFKpZOnSpbi6Xn+xsHXrViorK815AEaOHMmSJUtIT08nJSWFiooK1Go1cXFxKBSK\nm+46vm7dOpYvX86uXbtQKpWMHz+e6OhoAGbOnMnFixf5/vvvOXfuHJmZmSxcuJDq6mqKi4sbnVzy\n9ttv4+fn1+JnrDA19xqgCb/73e9atc15a126dMmu5QUFBdm9zLYg7XAs0g7H0i8YMSYAACAASURB\nVB7a0R7aANfbcbN1VLeD9FWOQdrhONpDG0Da4WjaWzvudF/VlAqdAW2ZAQ9P9R07R1vYT5Mj2qdO\nnbrpB2tqaux+M0IIIYQtpK8SQgjRXnV0lwD7btZkoJ2enn7TD1o7c6ylPvjgAz766CPzz2fOnCEr\nK6vV5QkhhPhpkr5KCCGEEI6oyUC7YXH87RAWFkZYWBgAJ0+e5J///Odtq0sIIUT7JX2VEEIIIRxR\nq3cdt5e//OUvTJ48ua1vQwghhGiS9FVCCCGEsEWrN0Ozh2+++YZ//OMfzJ07t61uQQghhLgp6auE\nEEIIYas2Pd7rgw8+aPYcswayk6t10g7HIu1wLO2hHe2hDeB4O7naQvqqWyftcBztoQ0g7XA07a0d\nd2NfJRxPm04dP3HiRKPz1YQQQghHIn2VEEIIIWzV7Ij2J598wo4dO7h69SpGo9Ei7Z133ml1xcXF\nxbi4uODk1KaD6kIIIdoB6auEEEII4Uia/ebw1ltv8eSTT9KjRw+USvsNgJeWluLp6Wm38oQQQvx0\nSV8lhBBC2MfOnTuZOnVqs/n27dvHo48+iru7+y3XuXjxYjQajfm0D3vR6XSsXLmSL7/8EpPJRFRU\nFHFxcRZ5CgsLiYqKIjk5mYkTJwLw97//nczMTAwGA7179yY1NZVOnTrZVHezgXbHjh15+OGHbSq0\nJYKDg0lKSrJ7uUIIIX56pK8SQgjR3mi1Wq5du4avry8eHh53pM66ujrS0tJaFGinp6czePBguwTa\naWlpt1yGNS+99BJqtZp9+/ZRWVnJhAkTGDJkCMOGDTPneeGFFyxeql+6dImUlBT27NlDUFAQa9eu\n5eWXX2b58uU21d3sa//Ro0ezf/9+ampqbCpYCCGEuFOkrxJCCNFeVFdXs23bNjZt2sRrr73Gpk2b\n2LZtG9XV1Xaro7a2luTkZCIiIggPD2fevHnodDpmzJhBeXk5Go2GgoICzp49yxNPPEFkZCTh4eFk\nZ2cDkJiYyLlz54iJieHo0aNotVoWLVpEREQEo0ePZvfu3VbrPXLkCI8//jhRUVFERkaSk5MDQExM\nDO+++y65ubloNBrzn/79+5OVlQXAsWPHmDRpEuHh4UydOpWCggKgfkQ6Ojraan3h4eE899xzKJVK\n3N3deeCBBzh9+rQ5/eDBg+j1eoYOHWq+9v777/PII4+YN8WbPHkyubm5Nj/jZke09+7di1ar5Y03\n3mg0He9W1r0JIYQQ9iJ9lRBCiPZix44dfPXVV+afy8vL+eqrr9ixYwdPPvmkXeo4fPgwFy5cMAeQ\nr7zyCsePHyc1NZWxY8ear8+ePZtRo0bx29/+lk8//ZRZs2YRERHBmjVr2LNnD1lZWQQGBpKUlIRS\nqSQnJ4fS0lImTpxI//796d27t0W969atIzExkaFDh3L+/Hk2bdpEZGSkOb0hwAb49NNPWbJkCePG\njUOn0xEbG8vLL7/MsGHDyM7OJi4ujj179hAQEGB+AfBjjzzyiPnvOp2O48ePM3PmTAD0ej1paWls\n2bKFjIwMc77z58/TtWtX889du3bl2rVrlJWV2bScrNlAe/Xq1S0uTAghhGgL0lcJIYRoD7RaLRcu\nXLCaduHCBbRarV2mkfv4+HDmzBny8vIYPnw48fHx5jputHnzZkwmEwAhISFUV1dTVFTU6Ai0AwcO\n8Prrr6NUKvHx8SE8PJz9+/c3CrR9fX3Zu3cvvr6+3H///WzYsMHq/ZWVlZGQkMD69evx9PTk4MGD\nBAQEmKd8R0dHs3LlyhYfx1ZTU8PChQsJCwtj0KBBAGRkZBAdHU2XLl0s8ur1enx8fMw/Ozs7o1Ao\n0Ov19g20O3fuzNWrV/nyyy/NUfyAAQMsKhdCCCHakvRVQggh2oNr166h0+mspul0OoqLi+0SaA8Y\nMIClS5eSlZVFQkICYWFhrFixolG+Q4cOkZmZSUlJCQqFApPJ1Oh0D6gfdY+Pj0elUgH1098bRqZv\nlJqaSmZmJjNmzMDFxYUFCxZYzdewMVlISAhQ/wKioKDAIq+zszPFxcXNBtoVFRXMnz+fgIAAVq1a\nBUB+fj6HDh1i165djfK7ublZLEWrrq7GZDLh5uZ203p+rNlA+6OPPuLNN9+kb9++dOzYkVOnTvHW\nW28xe/Zsi7nsQgghRFuRvkoIIUR74Ovri7u7O+Xl5Y3S3N3d7foCuWGadmlpKUlJSbzxxhtMmTLF\nnG4wGIiPj2fjxo2MGDGCmpoaBgwYYLUsf39/MjIyGo1g/5ifnx/Lli1j2bJlHD58mPnz5xMaGmqR\nZ/v27ZSWljJnzhyL8oODg9mzZ49NbaytrWXevHn06tXLYnPTAwcOcPnyZUaNGgXUvyjIy8ujsLCQ\nHj168Omnn5rznj9/ns6dO9v8gqPZQPv//u//WL9+PX5+fuZrly9fZsOGDfLlRQghhEOQvkoIIUR7\n4OHhwX333WexRrvBfffdZ7fdx3fv3s3ly5eZO3cuXl5eBAcHA6BWqzEajeh0OoxGI5WVlfTr1w+A\nbdu2oVarqaysBMDJyQmtVktgYCBhYWHs2LGD5cuXU1tbS1paGuPHj6dv377mOg0GA08//TQbNmzA\n39+fvn374uTkZLG3Sn5+Plu2bGHnzp0W1wcOHEhRURGff/45AwcOpKCggPT0dNLS0lAoFE22Mysr\ni44dOzY6QeTZZ5/l2WefNf+8ZMkShg4dysSJEyksLCQ9PZ2zZ88SHBzM1q1bm9xs7WaaDbRra2st\nvrgABAYGUltba3NlQgghxO0gfZUQQoj2Ytq0aezYsYMLFy6g0+lwd3fnvvvuY9q0aXarY/To0SQl\nJTF27FhUKhXdunVj7dq1eHh4EBISwqhRo3j11VeZNWsWEyZMwNfXl9jYWMaMGcPs2bPJzs5Go9Ew\nbdo0Vq9eTXx8PKtWrSIiIgKA0NBQ+vTpY1GnWq1m8uTJPPXUUwAolUqWLl2Kq6urOc/WrVuprKw0\n5wEYOXIkS5YsIT09nZSUFCoqKlCr1cTFxaFQKCgsLGTmzJlWN0TbsWMHer3eYsq5RqMxr0m3JiAg\ngBUrVjB37lzq6up48MEHWbp0qc3PWGFqWN3ehBdeeIF+/foxduxYXF1dqaysJC8vjxMnTtzRs0Uv\nXbpk1/KCgoLsXmZbkHY4FmmHY2kP7WgPbYDr7WjJhiWtIX2VY5N2OI720AaQdjia9taO29VX2Uqr\n1VJcXIyPj88dO0db2E+zI9rPPvssr732mvl4FIVCwcCBAy2G2oUQQoi2JH2VEEKI9sbDw0MC7LtY\ns4G2n58fSUlJ1NXVUV5ejoeHR6MzSoUQQoi2JH2VEEIIIRxJk4H2zp07mTp1Klu2bGlygbmMFAgh\nhGhL0lcJIYQQwhE1GWg3TFPw9fW1mn6z3d2EEEKIO0H6KiGEEEI4oiYD7Yad2dzc3PjlL3/ZKP2t\nt966fXclhBBCtID0VUIIIYRwRE0G2t999x3ffvstf/vb3/D09LRIq6io4L333mP69Om3/QaFEEKI\npkhfJYQQQghH1GSgXVNTw9dff01FRQXvv/++RZpKpeI3v/nNbb85IYQQ4makrxJCCCGEI2oy0O7Z\nsyc9e/ake/fuhIeHN0rPz8+/rTcmhBBCNEf6KiGEEEI4ombPPgkPD+fUqVN89NFHHDx4kIMHD/KP\nf/yDdevW3VLFhw4dYtGiRSQkJPDZZ5/dUllCCCF+2qSvEkIIIexj586dLcq3b98+dDqdXepcvHgx\nH3zwgV3KupFOp+P5559Ho9EQERHBK6+80ihPYWEhISEh7Nmzp1Ha22+/TZ8+fVpVd7PnaGdlZfHh\nhx/SpUsXzp49S7du3bh8+TK/+tWvWlUhQHl5OX/5y19Yu3YtVVVV7Ny5k8GDB7e6PCGEED9t0lcJ\nIYRob0zVJVB1BVz8UXTwviN11tXVkZaWxtSpU5vNm56ezuDBg3F3d7/letPS0m65DGteeukl1Go1\n+/bto7KykgkTJjBkyBCGDRtmzvPCCy802ucF4MqVK/z5z39udd3NjmgfOXKETZs2sXLlSnx9fUlJ\nSWH+/PmUlJS0utL//ve/9O/fH1dXV7y9veWMUyGEELdE+iohhBDthamuitovN1J3fAV1n6+h7vgK\nar/ciKmuym511NbWkpycTEREBOHh4cybNw+dTseMGTMoLy9Ho9FQUFDA2bNneeKJJ4iMjCQ8PJzs\n7GwAEhMTOXfuHDExMRw9ehStVsuiRYuIiIhg9OjR7N6922q9R44c4fHHHycqKorIyEhycnIAiImJ\n4d133yU3NxeNRmP+079/f7KysgA4duwYkyZNIjw8nKlTp1JQUADUj0hHR0dbrS88PJznnnsOpVKJ\nu7s7DzzwAKdPnzanHzx4EL1ez9ChQxt99oUXXiA2NrbVz7jZEW2VSoWbmxsARqMRgAEDBvDWW2+1\neqTgypUrVFdXs27dOioqKpgyZQr9+/e/6WeCgoJaVdedLrMtSDsci7TDsbSHdrSHNsDtbYf0VY5P\n2uE42kMbQNrhaKQd9lP31RYoPn79Qk0ZFB+n7qstOPWLt0sdhw8f5sKFC+Tm5gLwyiuvcPz4cVJT\nUxk7dqz5+uzZsxk1ahS//e1v+fTTT5k1axYRERGsWbOGPXv2kJWVRWBgIElJSSiVSnJycigtLWXi\nxIn079+f3r17W9S7bt06EhMTGTp0KOfPn2fTpk1ERkaa0xsCbIBPP/2UJUuWMG7cOHQ6HbGxsbz8\n8ssMGzaM7Oxs4uLi2LNnDwEBAeYXAD/2yCOPmP+u0+k4fvw4M2fOBECv15OWlsaWLVvIyMiw+NzB\ngwfR6XRERUXxu9/9rlXPuNlAu1u3bqxdu5ZFixYRFBTEO++8Q48ePaioqGhVhQ3Ky8tZtGgRRUVF\nrFq1is2bN6NQKJrMf+nSpVuq78eCgoLsXmZbkHY4FmmHY2kP7WgPbYDr7bhdX2Ckr3Js0g7H0R7a\nANIOR9Pe2tGWwbapugR0Z60n6s5hqi6xyzRyHx8fzpw5Q15eHsOHDyc+vj6Av3DhgkW+zZs3YzKZ\nAAgJCaG6upqioqJGz+jAgQO8/vrrKJVKfHx8CA8PZ//+/Y0CbV9fX/bu3Yuvry/3338/GzZssHp/\nZWVlJCQksH79ejw9PTl48CABAQHmKd/R0dGsXLmyxb+vmpoaFi5cSFhYGIMGDQIgIyOD6OhounTp\nYpG3qqqKdevWsWXLlmbLvZlmp47PnTuXfv36oVKpmD59OmfPnmXPnj08+eSTra7U09OTPn36oFKp\nCAwMxNXVFa1W2+ryhBBC/LRJXyWEEKJdqLoCNU30NTVaqCqySzUDBgxg6dKlZGVlMWzYMBYuXGi1\njzt06BC//vWviYiIICoqCpPJZJ45dqPy8nLi4+PNI9Lvvfee1ZfdqampuLq6MmPGDIuR8x9LTk5m\n4sSJhISEAKDVaikoKLCYVu7s7ExxcXGzba2oqGD27Nn4+PiwatUqoP5UkkOHDplHt2+UkZHBY489\nRteuXZst+2aaHdF2dnY2z3m/5557SE5OvqUKAQYOHEhGRgbjx4+noqKCqqoqOnXqdMvlCiGE+GmS\nvkoIIUS74OIPzh7108V/zNkDXDrbraqGgLW0tJSkpCTeeOMNpkyZYk43GAzEx8ezceNGRowYQU1N\nDQMGDLBalr+/PxkZGY1GsH/Mz8+PZcuWsWzZMg4fPsz8+fMJDQ21yLN9+3ZKS0uZM2eORfnBwcFW\ndwa/mdraWubNm0evXr1ISkoyXz9w4ACXL19m1KhRQP2Lgry8PAoLC/nggw8oKSnh7bffNucfNmwY\n27dvp1u3bi2uu8lAe+7cuTedHgfw+9//vsUV3cjHx4eHH37Y/EXo6aefRqlsdnBdCCGEsCB9VdvR\nG0rQ1VzB3dkfV/Wd2Q1XCCHaO0UHb3APtlyj3cC9h912H9+9ezeXL19m7ty5eHl5ERwcDIBarcZo\nNKLT6TAajVRWVtKvXz8Atm3bhlqtprKyEgAnJye0Wi2BgYGEhYWxY8cOli9fTm1tLWlpaYwfP56+\nffua6zQYDDz99NNs2LABf39/+vbti5OTk0Xfmp+fz5YtW9i5c6fF9YEDB1JUVMTnn3/OwIEDKSgo\nID09nbS0tJt+D8jKyqJjx44WQTbAs88+a7HJ6ZIlSxg6dCgTJ05stAFanz59+Pjjj219xE0H2vPn\nzwfgiy++4LvvviM0NJSOHTui1Wo5dOgQP/vZz2yu7Ebh4eGEh4ffUhmO5Jtrer6+qucBP1d6+ro6\nXHlCCNEeSV915xnqqvjXxc0UV56jqq4MF5UnPm49ePjeOahVLm19e0IIcddT/Wx2/YZounP108Wd\nPcC9B6qfzbZbHaNHjyYpKYmxY8eiUqnMe514eHgQEhLCqFGjePXVV5k1axYTJkzA19eX2NhYxowZ\nw+zZs8nOzkaj0TBt2jRWr15NfHw8q1atIiIiAoDQ0NBG50+r1WomT57MU089BYBSqWTp0qW4ul6P\ndbZu3UplZaU5D8DIkSNZsmQJ6enppKSkUFFRgVqtJi4uDoVCQWFhITNnzrS6IdqOHTvQ6/XmDdag\nfiS/YU367aQwNaxub0JCQgJr1661eFNgNBpJTExk3bp1t/0GGzjqBjMllbXE7TuHtroOE6AAPDqo\neCWqB95uzc7Mv+Xy2tvmE3c7aYdjaQ/taA9tgNu/wYz0VXfOoe9e4lJ545GWoE6DCO26wOpnHLEd\nrdEe2tEe2gDSDkfT3trhCDuPQ8M52kXg0vmOnaMt7KfZOXBarZby8nKLaxUVFbIhzA/i9p2j7Ieg\nGMAElFXXEZ9z7pbK88GJn+GKD063VJ4QQvwUSF/VPL2hhKKKU+gNrT9bXG8oobjSen9UXHnulsoW\nQghhSdHBG4Vnbwmy71LNDrmOGTOG+Ph4HnzwQdzc3KisrOTUqVMylY766d3a6jqraWVVdXxzTW/T\ntO9vrumpqTbxP6rOuKBEQX3gXoWRv1Zds7k8IYT4qZC+qmn2nOqtq7lCVZ2VDXqAqjotuporsl5b\nCCGEoAWB9qRJk/jFL37BV199hU6no2PHjkyePJnu3bvfgdtzbF9f1dPUvHsTkH/VtsD466t6Hlf5\n4qZQma8pADdUPK7ytbm8u8nXhVo+OlXssGvSZQ2+EI5N+qqm/eviZoup3lV1pVwqP86/Lm5ucqp3\nU9yd/XFReVJVV9oozUXlgbuz/y3frxBCCNEeNBlonz9/nu7du3Pq1CkAi3PEqqurOXXqVKMF7j81\nD/i5ojAaMSmV+OKEP2quYOAatSiMRnr72RZAddWWcg7rIwEuKLlPWwL42OHOHUfDmnR1tYLOOPFX\nijF0MLV6jXsDewWylmvmTShQ2HEN/q2X15bkZYFwBNJX3VxLpnrbMgLtqvbGx62H1TXaPm49ZDRb\nCCGE+EGT3+yzsrJYtmwZ6enpVtMVCkWrj0xpL4J1F/EzVBLu1qPRVO+86nME6y6Cb88Wl+deWIyi\niUBbAbhfaf3aN0cNihb97Ry/NPngorrh+dUaWZx9jj9M7WVzefYOZOP2naWs2vjDT4rra/D3nWXb\n5JufE3gnymsL9t4A8G5xrdLAZZ2BQHc1vm7qtr4d8QPpq27udkz1fvjeOTdMRdfiovIwT0UXQggh\nRL0mvxUvW7YMgIyMjDt2M3edM18z2ak/BitTvSc7dYazJ6BbywNt7x6+KL4wgZWz4BQmE97dbR/N\nduSg6JtresJNPlanyo8x+rRqTXrc389QVmOynGFQXUv8vjNsm2zbqNY31/Roq2pBocQNJZ1QUU4d\nlRgpq6pt1Rr8hvJ+rDXltZWGDfsa3LgB4LZJtr8ccXR6g5ENH18i/2olZdVGPF2U9PZ1Y+GwIFzV\ncqZyW5O+6uZux1RvtcqF0K4L5BxtIYQQ4iaajLReffXVZj984yHfP0VlAX0xFLpbTTOo3Snz/1kT\n49PWefftgfNn31Lj7Nkozbm2HO++PWy+R0cOir767/e43GSq/Ff//Z6eI4NbXN431/TUVJn4H7WV\nzeT0RTYHsl8XXEWFklFKLzor1LigpAojRSYDB+pKOVVwjZ6+99lUnonGL1EATChsLq8t2HsDwLtB\n2qGLfPZ9hfnnsiojn17Usf7QRZaHdWl1uTJCbh/SV93c7Zzq7ar2lgBbCCGEaEKTgbaPz81HTxVW\nRl1/akqdg0BRaT1RoaTUOcimQBsgdKwHh/aXUePkXj/yaTLiXKsjdKyHzfd3Y1D04zXktxoU2WMq\nun+ZlsKbTJX315ZbTWvK1/kFPK7ubH0zOXVnvs4voOcjLZ+e/YBJS5jKh67K67vyuqGim0JFGJ70\nwbap/A+YtChMCkxNzFjog+MfQ2TvDQAd3bVKA/8trLCa9kVhBdcqDTYHyQ0j5N9c01NaVYeXq4qe\nPq63PEJu78D9bnkRIH1V82SqtxBCCHHnNRloT5ky5aYfzMrKsvvN3G28/VQ0MUAJih/SbeQW4E1E\njDclJ85Rcr4Y7+4+rRrJhvqgqINJwUQnv0YjvHtqr7YqKLLn5mW9e3py+b/WH6EJ6H2/bS8Xul4r\n5Bydraa5oKRrcRHQ8kA7yN2VIEUHq2n3KjoQ1NG2Y3Hu7xGIx/EzlHVo3C4Pg477u99vcc0Rdzp/\nwM/V/O/oxxRg8waA9r4/e8u/qsdgtJ5mMMLpq3p8u9oWhG74+BKfXtSZfy7R1/HpRR0vfXyJ5JG2\nz2iw99T2u22qvPRVzZOp3kIIIWyxc+dOpk6d2my+ffv28eijj+Lubn2Gry0WL16MRqMhLCzslsu6\nUXl5OcuXL+err77CZDIRGRlJfHy8RZ7CwkKioqJITk5m4sSJFmlvv/02KSkp5k1XbdFsZHT16lV2\n797NlStXMBrrv3FWVVVx7do1YmJibK6wPfHydqJDBwXV1Y3TOnRQ4OXd+jXQ3n17tDrAbtDHcJWJ\nTn5WR3gnOvnRy3AVW3cxt+fmZd59e9Dhs+8wODcOPDsYbJ8q7+7XHYXOepoCcPfraj2xCaUlJpya\neJOiQkFZKbjZVCK8dPz3LBg0D7Xai85KZ4qMNRgMpbx0/Pcw8WXA/uvq7VleT19XPDoob9jQ7TqP\nDspWBciOvI9Ac5oa3W/KtUoDp69ZnwWTf7WyVSPk9p7afrumyt9u0lc1T6Z6CyHE3UVXdZVS/SW8\nXINwd/G7I3XW1dWRlpbWokA7PT2dwYMH2yXQTktLu+UyrFm/fj2dO3fm5ZdfRqvV8vjjjzNo0CBG\njBhhzvPCCy/g6dl46e6VK1f485//3Oq6mx2e+P3vf4/RaCQ0NJRLly4xfPhwOnbsyOLFi1tdaXvy\naIQHHX406NmhQ/31tuZ38SIuTfyKXVDid+mSTeXduHmZUqFAoVCgVChwU1zfvMxWj47thHNNGRiN\nYDKB0YhzTRmPju1kc1k+fe5BYbIe+ihMJnx632NbgR5ezaQ3/g/ypq5cxtVk4tcqfyY4+TFM5ckE\nJz9+rfLH1QQUFQLX19U3tOTGdfWtYe/yXrq8F89qLYoffmcKoxHPai0vXd7rEPfX4JtrenZ+dqFV\n/y4b9PZzRa20/rJFrVTYPIJ/WWegtMr6EHlptZFCncGm8loytb0ty7uTpK8SQgjRXtTU6nn3P0vZ\n/u9Ydh1dwPZ/x/Luf5ZSU9v67zQ/VltbS3JyMhEREYSHhzNv3jx0Oh0zZsygvLwcjUZDQUEBZ8+e\n5YknniAyMpLw8HCys7MBSExM5Ny5c8TExHD06FG0Wi2LFi0iIiKC0aNHs3v3bqv1HjlyhMcff5yo\nqCgiIyPJyckBICYmhnfffZfc3Fw0Go35T//+/c2z044dO8akSZMIDw9n6tSpFBQUAPUj0tHR0Vbr\nGzt2LM888wwAHh4e9O3bl3Pnrn/HPHjwIHq9nqFDhzb67AsvvEBsbGwrn3ALAu2SkhJiY2MZOXIk\nbm5ujB49mri4uFuK7tsTF1clYyd4ETrWnX6DXQkd687YCV64uLb9FMsSz55N/oKVQInn/U2kWle/\neVnTgftX//3ethukYap8N8aNUNK301mGDygjIqYbbgG2j7p4eTvh7GI9KHJ2sX2GgU83bxQm6xt/\nKU11eHe18R79Azn8i9XUuHiBUlm/u7xSSY2LF4d/kQKdA1q02Zgt7F2eqfQa3udP8OYnq1l/LJ1n\nTv+V9cfSefOT1XifP4Gp9Fqb3h/Uj5BP/8tpns/9lvXv5/N87rdM/8tpSiprbS7L103NgEDr8xYG\nBLrZPPrcQaW42WoTnFW2rSduydT2tizvTpK+SgghRHuR8+ULnC36hIqaYsBERU0xZ4s+IefLVLvV\ncfjwYS5cuEBubi779++nZ8+eHD9+nNTUVFQqFbm5uXTp0oW0tDRGjRpFTk4OqampJCcnYzAYWLNm\nDVC/RGvIkCGsXbsWpVJJTk4Ou3btYtOmTeTn5zeqd926dSQmJrJv3z4yMzN57733LNI1Gg25ubnk\n5uaSkpKCv78/48aNQ6fTERsby4IFC8jLy2P69OnExcUBEBAQYH4B8GPDhw+nc+f6paXnzp3jv//9\nL8OGDQNAr9eTlpbG8uXLG33u4MGD6HQ6oqKiWv2Mm40GlUolJSX1mz4pFAp0Oh2dOnXiypUrra60\nPfLydqJHrw63NF3c3nz63FM/SmxNK0Z4/cu0Nw0SbN287Eb3DHmQ4F+G3PJ0+REazx9mGJjMfzp0\nqL9uKxdXJX6B1gMp30C1zS9Tykye1Kitj9TXqDtRZvKs32ysid+ZyWQi38ZApyWbl9nkymUoq///\nQXDFJSIv/Yvgih9mRmhLzaPybXZ/2H+EfNHwe3noXnc8O6hQAJ4dVDx0rzuLht9rc1nVdaabtrem\nztbJ6Ddn39LsX549SV8lhBCiPdBVXaWwzPp64MKyU+iqrtqlHh8fH86cOUNeXh56vZ74+HhCQ0Mb\n5du8eTMzZ84EICQkhOrqaoqKihrlO3DgANOnT0epVOLj40N4eDj79+9vBnWyHwAAIABJREFUlM/X\n15e9e/dy5swZunfvzoYNG6zeX1lZGQkJCaSlpeHp6cmxY8cICAgwB8nR0dF89913XGrBDN26ujrC\nw8N5/PHHmTVrFr161S93zcjIIDo6mi5dLJfGVVVVsW7dOlasWNFs2TfTbFQYHR3N/Pnz2bZtGyEh\nIaxYsYLOnTvbZS6+uL0aRnhrahqntWaE196bl90ODTMMSktqKblah7ef6pZefgwZ7sFn/6qg5KqB\nmhpwdgZvPzWDH+5oc1klV+usnqENgEJJydU6HnCpQWEyNbkzeW8XK7/Mm7D75mX+geCkhlorU4hV\nTtA5oE3v73YcP+aqVrJ05H1cqzRQqDMQcAu7cAe6q/FyUVFa1fgevVxUBLjbVm7D1HaDsfETbM3U\ndnuXdydJX9U8Za0WleEadWpfjE5t//9rIYQQjZXqL1FRY/1km8qaEsr039tlvfaAAQNYunQpWVlZ\nJCQkEBYWZjWwPHToEJmZmZSUlKBQKDCZTOa9UG5UXl5OfHw8KlX93lDV1dVoNJpG+VJTU8nMzGTG\njBm4uLiwYMECq/kaNiYLCQkBQKvVUlBQYJHX2dmZ4uJigoKCbtpWlUpFXl4excXFzJkzB6VSSUhI\nCIcOHWLXrl2N8mdkZPDYY4/Rtatt+zv9WLMRyOjRo3nooYdQqVQ88cQTdOvWDa1Wa36bIBzbCI0n\nH/1DS3X19S/OHTooeDTC9hFee29edjt5eTvZZXaBk1rB0FB3qvRGKnRGOrorW70soLld6L39VHgW\nXcPDUNH0zuQ1AIEtrvN2bF5mT/X3p7I4672BRweVzfd3O48f83W79WOufN3U9PJ1tdh1vEEvX1eb\ny2+Y2n7sUuN11a2Z2m7v8u4k6auapjBW0+nyn6nRn6O8TksnlQfOrj0oD/wVJqX1kxWEEEK0DS/X\nIDo6e/8wbdySm7M3nq427jl0Ew3roEtLS0lKSuKNN96wOM3DYDAQHx/Pxo0bGTFiBDU1NQwYMMBq\nWf7+/mRkZNC7981P+PHz82PZsmUsW7aMw4cPM3/+/EYj6du3b6e0tJQ5c64fQ+nv709wcDB79uyx\nqY179+4lLCwMDw8PfHx8+OUvf8mhQ4fQarVcvnyZUaNGAfUvCvLy8igsLOSDDz6gpKSEt99+21zO\nsGHD2L59O926dWtx3U1GDCtWrODAgQNUVVXh4VH/pV+pVDJ8+HCioqKs7szWUidOnGDmzJmsXLmS\nlStX8sc//rHVZYmbu76GvBP9BrsROrbTLa0ht+fmZXcTF1clvp2dbmntff0u9dbTOnSoT8c/kJdO\n/dH6ZmOn/mjziDHYefOyK5ehrn6tc5WzF8Vevaly/mHTuLo6m6eOA2wcE4inUW95f0Y9G8e0/IVC\ng4YRcmtu9fgxU+k1TPm2r0P/sYXDgnjoXne8XVQoAW+X+qnoC4fd/G1sU8xT250VKDDh6axo9dR2\ni/LsMFX+TpC+qnku3/+J90oPsavqLHsMV9hVdZb3Sg/h8v2f2vrWhBBC/Ii7ix8Bnn2spgV49rbb\n7uO7d+8mIyMDAC8vL4KDgwFQq9UYjUZ0Oh16vZ7Kykr69esHwLZt21Cr1VRW1p+g4uTkhFarBSAs\nLIwdO3YA9RutpaamcuLECYs6DQYDMTEx5mVdffv2xcnJCaXy+vfr/Px8tmzZwosvvmhxfeDAgRQV\nFfH5558DUFBQwKJFi5pcctlgz549bNu2zVz/4cOH6dOnD88++yz//ve/+fjjj/n444/Nx3vFxsby\n97//nX/+85/mNICPP/7YpiAbbjKiHRoayocffsjWrVt56KGHGDlypPkh28ODDz7IwoUL7VaeuDl7\njfDa85zvn6JHIzx+mGFw/dqNu9QrvHzxrq3kzU9Wc7ZjEKc8u9Kn7Lv6ddAeXii8fG2qz1R6De9z\nX/Km9rDV8kyl12wr0z+QWi9//tNlGqUe91Pj3AnnmnK8tGf4ecEOnFvxIsDz7Vd48/Mjje+vbCjM\nW2pTWfYeIQcwVekxvr4Bzp+uX4fu4QXde6GctRCFi+3l2XMqOoBLXTWJX26luOAihXVqAlQGfLrc\ni/Lhhfx/9u48PIoq/f/+uzt7CCELhBBl3xQEZBVUkDUEQUVZ1FEQBBGjbDoi6yADA7IJyOqoj46i\n4+gMoiKI+lUR5gcKsikqqGxhy77v3V3PH5m0hHQgHTp0J3xe1+Ulqao+de6qwOm7zqlz8LmC+p1P\n4PyZRCKvCyM8MqLC9atsaqsuzWzJ4OuMPZww8uzbcrBx3MjDyNhDt7pDNYxcRMTDDLhpJlt//Bvx\n6UfJKUgl0DeUurVaMOCmmS47R58+fZgxYwbR0dF4eXnRsGFDXnjhBYKDg+nYsSO9evXi5ZdfZuzY\nsQwePJjw8HCeeOIJ+vbty/jx49m8eTMxMTE88MADzJ8/n8mTJzN37lz69+8PFLXPLVuWfGDg4+PD\n0KFDGTVqFFD0YHzWrFkEBPzxfeWNN94gJyfHfgxAz549mTZtGi+99BLz5s0jOzsbHx8fJk2ahMlk\nIj4+njFjxjicEG3hwoU8//zzxMTEYLVa6dChg30W8spmMi7zGCAhIYGdO3eyY8cOCgoK6NGjBz17\n9qRuXee/UBc7fPgwn376qVNfXsrzorszoqKiXF6mOygOz1LeOMp6h9xIS8Y2bwpkpJEe1IDUkOaE\npv1KraxTEByCefZypxJj4+hhbEuml7nfPPUFTM1bORXHrjf3k+RX+uFK7fzjdBvZvtx1g//FO/9p\n+wRrJdQKxTzrRacfLrh6XW7r6vlw8LvSO9p1wcvJBwEXMtKSi0YIREReMsbL/U5ZV86FH78vveOm\njnhNcn4SD/uDhWNHIDMdataCJi0r/GChWHEcl3uPqqLUVjlWmHmQT0+9SA6lXx8JxExMg2fwqel4\nGODlOPPOd3niyC1MJasggSDfCI9d77s6tFXVIQZQHJ6musVRWW2Vs7LykkjPPUetgHpXbR1tcZ3L\nJtoXOnbsGDt37uT7778nJCSEuXPnVuikhw8f5tVXXyUyMpKsrCyGDRtW5nh/kWtJ/o/7OfWXZ9nZ\n+a8U+NYsmjzNsOFbkMnte/5Cg3lL8Wt9c7nLK/jtF+InjwDDIM83hJzACAJzEvAvSAOTibor3sK3\n2Q3lLi87q5B3XvsVB3NgYDbDn8Y0p4YTE3rl/7ifhOfG4XA6NJOJiEWvOBXvhX6Jz+CHsxm0iQrm\nhroV67GzJidybtLDGKmlh4ubQsOpt3IDXuF1nCrTlptD8pJZ5P/yA0Z6GqaQEPxatiH82fmYAxwv\nJXap+p0dcw8UFpR+MOPjS9RrHzpdv4Q5k8jf+99S2/063UbE3JVOleUuaqv+EHfmM/790yKH+0zA\nkFbTqH9dP6fKNKx5WH9eD1nHoCADfIMhqAleN47H5OXvdB0LLLn/67k5QnZBKjV8Q6lbqyUDbpqJ\nr7fnTsAnIiJyKU5179hsNvt/TuTnpdSrV49hw4bRrVs34uPjmTt3LqtWrcLbu+zqeFovgadQHJ7l\nSuMwzN7svGUeBb4XvFdq8rKvtR1t8sLkRPnG6TgsZl8OtB5feqj34fUknjmNKbB0ElpWHOdOFzhM\nsqHotf1ffjpDvet9y18/szd4e5c5i3mSk/FeqGZaMnf7WEhKTuWs1blecXv9jh62J9kXP6gwUpM5\n/+NBhyMCLuXiHmgjLZW8b7/hzPNTHPZAX+p3yrZvF3kmf3bevrT0g5nvZnFu1w7MHbqWP960ZGwH\nvnMYb/6B7zjz0w9OjzC4OI6r0UugtuoPtiwrgZgd9mgHYMaWZXW6/OCzb+Kf8zNZhpV0w0KtfAtB\nBelk719BRtRIh5+5VBw7Tr3I2cz99p+L14v9YO9sujd42qm6Vbbq0FZVhxhAcXia6haHp/RoS9V2\n2UQ7ISGBHTt28M0332CxWOjRowczZ84kMtL5iYqKhYWFceuttwIQGRlJSEgIKSkpRER47nuAIldD\n0VrbjqfzKlprO5gQZwqMiGTfzZNJCm39Rzn+IST4d2SfzyS6VuCd6spSqke2gi58pzohIx2Ca1X4\nnWrDzw+Ltz8HWj1e+kHFTy/j4+tb5uRrDstLS4ZfDgGlE1l+OeT8O/PAzi7zKfC/4Lei+MFMl3n0\nM513qizj2FEshpkDbSc5fDDjc+xXTB0qlmhXNrVVjvkFNCbCHMgJW+mZ7iPMgfgFNHKQgpfNbMmA\n3JNsLkgi3iggBxuBmKlr8qWv6SRmS4ZT73znFqaSkuN4jfuUnOPkFqZWeBh5VRiKLiIi1VeZifZn\nn33Gjh07OHnyJF26dGHs2LHcdNNNmBys7+usHTt2kJqayt13301aWhrp6emEhYVdcbkiVV151tp2\nZlK7fL9QkkMcz1yZHHID+X6hODPQMzTcG7OZMoeOh4Y7+Q50wnnyvALZ2XWew6HygYnx4GTiaXt1\nWcl3qtNT4eB32F5d5vQ71ab8fPa1foKkOn+8e25/UGF6gq6OFqm/BFcnshnhLSgoYwBBgW8wGWFO\nPpgB9t0UW0a8sdxiqnjvcGVRW3VpNu9gegZ3Znv6LuKNAnKxEfC/xPiO4M7kOjkRmldhMp/nn3I4\nudoX+ae4rTDFqUQ7qyCBPGu6w3151gyyChKcTpILrXnsPrOWlJzj5FnT8feqRVhgY7peF4tPBYa2\nF8stTOV0ahL5hV5K3EVE5LLK/Fa8c+dOevXqRbdu3UrMBOcKnTp1YuXKlezduxeLxcLYsWMvORRP\n5FpRnrW2nZGabMEwOf67ZZi8SU22ODXU2z/ATHiEN4nnLaX2hUdUYPmziEh23jK/7KHydYKcKs5I\nS4bjRx3vPH7U6R7jvOBIkst4xzk5vDV5Nb1w9l9HVyayqQVBYMpxvNNkJrUg0KlEOz+qBclhpWds\nB0gOa01+PefjrWxqqy4vr95D9DV5O1xH21nZ1jwSDMcPmOKNArKtuZT/XxQI8o3A36sWeda0Uvv8\nvYIJ8nV+9MDuM2tLDEXPs6ZxNnM/u8+srdBQ9MpK3EVEpHor8xvDX//610o7aUBAANOmTau08kWq\nquK1ti9c/quYfa1tN+t0aw327c4mNdlKQb6Br5+J0HAvOnSt4XRZLh8qn3C+aAkuHAxFz0grWufb\niUQ7zVITw5TtcJ9h8iHNUsOpxNPViWxobS8oq+fWZHL6wUyapSaGuYx4zc7HezWorbo8w+xHRtRI\nzJYMAgtTKPAJI6+CS3plF5x3+L43QC42sgsT8OXGcpcX4BNKWGDjEolxsbDAxk73HFfGUHRXJ+4i\nInJtcP+3dhEp4XJrbTvD5UO9AW8fE126B5GXayM7y0aNILPzPdn/4+qh8oafH3l+tdjZ2dFQ9NkE\nOPlOdVE9yk5kneXqRLZSHsy4MF7xLDbv4CteMzsgsCmBeJFD6QdGAXgREFB66b/L6Xpd7AU9xhn4\newXbe4yd5eqh6JX5DrmIiFRvSrRFPIx/gJnowSFlrrXtbFkuHep9UdlX8nlw/VB5U35+UZLtaHKw\nzn8luiDXufpVwoMKVyeynv5gRqoXf/8G1PYJ41RhYql9tX3C8Pdv4HSZPl7+dG/wNHl5p8jNPUZA\nQJMKlQOuH4peGe+Qi4jIteHKviWLSKUJCfWmcXO/Kx4u3unWGtSN8sbXryiR8/UzUTfKm063Oj/U\n29WKe2QdqUiPbLpfJAW+jhPMAt9apPs6N8t68YMKRyryoKI4kXWkools8YOZ7tFB3NQhgO7RQUQP\nDqnQQxBXxyvVU+cmc2jgU4dAvDABgXjRwKcOnZuUXp6uPEy2fILPvknImdcJSvyYkDOvE3z2TUw2\nB0M1LqN4KLojFRmKXpy4O1LRd8hFRDzde++9V67jtmzZQlZW6VUtKmLq1Kl8+eWXLinrQpmZmUyZ\nMoWYmBj69+/PihUr7PsOHjzIsGHDiImJ4b777mP79u32fZ988gmDBg2if//+TJgwgczMTKfPre4J\nkWrOlUO9K4Mre2QvPTmYidSCGk7Pwu3Kd9Irc4RBSKi3S97hd2W8Uj15e9eiW4sX/9cDfZyAgMYV\n7oEG8D/3Nl/8b1b0HGwEFiZRN/80dxgWcq971OnyXDkU3dXvkIuIOCUvD3JyITAA/K/O5ItWq5XF\nixczfPjwyx770ksv0aFDB4KCnJu81pHFixdfcRmOLFmyhDp16rB8+XIyMjK49957ad++PT169GDC\nhAnMmzePO+64g6NHj/KnP/2Jr776iszMTObNm8fGjRuJiorihRdeYPny5fzlL39x6txKtEWuEa4Y\n6l0ZXDlU3tWTg4HrH1R4eiLr6Q9mxHP4+ze4ogQbitbl/jpjj8PlwoyMPXSrO9Tp98qLh6K7ah3t\nCxP3fGsGfleQuIuIlIvFAgcOQXo65BeAny/UqgU3twUXrX5hsViYM2cOe/fuxWaz0bJlS1544QVi\nY2PJzMwkJiaGV155hcLCQmbOnElaWhoWi4VJkyYxaNAgpk+fzvHjxxkxYgQLFy6kRYsWzJs3j0OH\nDmGxWIiNjWXIkCGlzvvdd9+xcOFC8vPzMQyDiRMnMmDAAEaMGMHQoUPx8/Mr0et85swZpk6dyogR\nI/j+++9ZsGABGRkZhIaGsmzZMurXr098fDxjxoxh8+bNpc4XHR1Ny5ZFS90GBwfTunVrjh8/Trt2\n7YiPj6dbt24AtGjRAn9/f06fPs3evXvp1q0bUVFRAAwdOpSRI0cq0RaRqskVPbKVOWu7qx5UVJVE\n1lMfzEj1kp97nASb41EoCbYc8nNP4FOzbYXKDvAJdUmPc3Hinpr1I4WcwIdGhAbddMXlulpe3ily\nc34nILDpFT8AERE3O3AIEi6YCyO/oOjnA4egUweXnGLnzp2cPn2aTz/9FICVK1eyf/9+FixYQHR0\ntH37+PHj6dWrF+PGjWPPnj2MHTuW/v37s3DhQjZu3Mhbb71FZGQkM2bMwGw2s3XrVtLS0rjvvvto\n06YNLVq0KHHeRYsWMX36dLp06cKJEydYtWoVAwYMsO+PiYkhJiYGgD179jBt2jTuvvtusrKyeOKJ\nJ1i+fDm33XYbmzdvZtKkSWzcuJG6des6TLIBbr/9dvufjx8/zg8//MCECRMICQmhVatWfPzxxwwZ\nMoS9e/fi7e1N06ZN+fe//02DBn/8O9qgQQOSk5NJT0+nVi3HrxM5okRbRKoVVw5Fr0xKZEUg05J5\nyeXCMi2ZhFWwbLMlA6/CZKw+4Vc027rFks6eY3NJKkwhByuBeFHbJ4zOTebg7V3+L1yVpbLq56rr\nJyJOyssr6sl2JD29aL8LhpGHhYXx+++/8/nnn3P77bczefJkAE6fPl3iuLVr12IYBgAdO3YkPz+f\nxMREe29vsa+++opXX30Vs9lMWFgY/fr147PPPiuVaIeHh7Np0ybCw8Np2rQpy5YtKyPUdJ577jmW\nLFlCrVq12L59O3Xr1uW2224DYNCgQTz//POcPXu2VF0uZrVaiYmJITExkWeffZbmzZsDMG/ePB59\n9FEWLVpEbm4uy5cvx9fXl9zcXMLC/mh9fH19MZlM5ObmKtEWkWvXhUPRbYVBmH2yPGL9cREpraZ3\nTQIxO0y2AzBT07um02WabPnUPP8vCnKPkWnNoKZXML4BTciMvB/DXMbsi5ew5/fnOWVJsv+cg5VT\nhYmYfn+eri2XO11eMVclsq6un6uvn4g4KSe3qAfbkfyCov0uSLTbtm3LrFmzeOutt3juuefo3bs3\nc+aUntRyx44drFu3jtTUVEwmE4ZhYHOwPElmZiaTJ0/Gy6voNb38/Hx7z/SFFixYwLp16xg9ejT+\n/v48/fTTDo+bOXMm9913Hx07dgQgIyODuLi4Esf6+vqSkpJy2UTby8uLzz//nJSUFGJjYzGbzdx7\n77089dRTrFy5km7duvHbb78xcuRIbrzxRgIDAyko+OMeFA9zDwwMvOR5LqZvnyJSLYWEehMVFcbZ\ns3mXP1hE3MIvoDER5kBO2ErPWhthDsQvoFEZ/d1l8z/7Fl9kfHvB5GrJ1M0/wx22AnKvH+tUWXl5\np0iypDjcl2hJIS/vlNPDtF2ZyFZG/Vx5/USkAgIDit7JdpRs+/kW7XeR4mHaaWlpzJgxg9dee41h\nw4bZ9xcWFjJ58mRWrFjBHXfcQUFBAW3bOn6dJyIigjVr1pTqwb5Y7dq1mT17NrNnz2bnzp1MmDCB\n7t27lzjmnXfeIS0tjdjYP+bCiIiIoEmTJmzcuNGpGDdt2kTv3r0JDg4mLCyMgQMHsmPHDm666Sas\nVqv9He1mzZrRsGFDDh06ROPGjdmzZ4+9jBMnTlCnTh2Cg517KKpxiyIiIuIWNu9gegZ3prHJn0DM\n/1suzExjkz89gzs73dNbNLnadxw38uy95MWTq23P+A6zJcOp8nKzDl9yaHte1k9OlQf/S2TTdvB+\n3nE2Fibyft5xvkjbgf/Zt5wuy9X1c/X1E5EK8PcvmvjMkVq1XDb7+H/+8x/WrFkDQEhICE2aNAHA\nx8cHm81GVlYWubm55OTkcNNNRfNS/OMf/8DHx4ecnKK5Nby9vcnIKPp3oXfv3rz77rtA0URrCxYs\n4PDhwyXOWVhYyIgRI0hISACgdevWeHt7Y75g7dOjR4+yfv16li5dWmJ7u3btSExM5ODBgwDExcXx\n7LPP2oe1l2Xjxo384x//sJ9/586dtGzZkuuuu47MzEwOHToEwNmzZ/ntt99o1qwZffv2ZdeuXRw7\ndgyAN954g0GDBjl1fUE92iIiIuJGefUeoq/Jm4Lc4xf08DYmM/J+p8sqyDpMguF4/e14I5+CrJ/w\nDula7vJqeodecmh7kLdzCwYWJ7KOZlkn4zu6WoY79XDB1fVz9fUTkQq6uW3Zs467SJ8+fZgxYwbR\n0dF4eXnRsGFDXnjhBYKDg+nYsSO9evXi5ZdfZuzYsQwePJjw8HCeeOIJ+vbty/jx49m8eTMxMTE8\n8MADzJ8/n8mTJzN37lz69+8PQPfu3e2zfRfz8fFh6NChjBo1CgCz2cysWbMICPijl/6NN94gJyfH\nfgxAz549mTZtGi+99BLz5s0jOzsbHx8fJk2ahMlkuuSs4wsXLuT5558nJiYGq9VKhw4deOyxxwgM\nDGTx4sXMnDmTgoICzGZzife358yZw5NPPonVaqVVq1bMmjXL6WtsMi73GMBDnD171qXlRUVFubxM\nd1AcnkVxeJbqEEd1iAH+iONy71FVdWqrHCtPHEXvLKdg9Qmr8DvLqUmf8ln82w73mYDoug8RUrv0\nu4CXqtOuo3/mhJFbal8jUwDdWix1qq6WtF1sPbPeYWIciJkB1z3hVCJbkfpd6l64+vpVpmvp70ZV\nUN44PH2SPY9rq9ywjra4jnq0RURExO1s3sFX/MU7IKgVgfFl9/D6B7Vyuk69anXm6/TviDcKyMVG\nAGbqmnzpWaszOU7WN9OSfsmh3lmWNJzpg3Z1/Vx9/USKVdYke9V+WTt/fyXYVZgSbREREakW/P0b\nUNsnjFOFSaX21fYJq9AX8dx6I+lr8qMg9xhZ1kyCvGraEwRnVUYie2H9Mq2Z1LyC+lXk+nl6ouPp\nPajXCldPsufpy+6JgBJtERERqUY6N3ke/vcFPBcrARd8Aa8Iw+xHRtRIzJYM6tcyE59uI6+CCVtl\nPAi4sH6BhSkU+IRVuH5Q/uvn6YnOtdqD6uoHC66I19VzE0DlLbsn4kpKtEVERKTa8PauRbcWLxYl\nCLnHCQho7JKEyOYdjKlWFLbsK3uf1tUPAi6snysSq/JeP09fX7yq9KAa+an45B6/4nhd/WDBlfG6\nepK9yljWTqQyuDXRLigo4JlnnmHIkCH07NnTnVURERFxSG1V1eTv38Ajv2xX1oMAV7vU9avc9cVL\nzz7vbKJYFXpQi+NNP36cnML0K06MXf1gwZXxunpugvIsa+eJf6fk2uPWRPs///kPQUFB7qyCiIjI\nJamtksrgqQ8CyqMyEh3/c2/zRfquCxLFJOrmn+YOw0LudY86VVZV6EF1ZWLs6gcLro7X1XMTuHpZ\nO5HKYr78IZXjzJkznD59mvbt27urCiIiIpektkqktOJEx5GKry++h+NGnj15Kk4Uv87Yg9mS4VR5\n5elBdUZ5Hiw4ozgxdhTv9ozvnI63PA8WnOHqeIvnJnCkInMT+Aa1IsLkuNc/wuSHr2bHFw/hth7t\nN998kzFjxvD111+X6/jKWM/OY9bIu0KKw7MoDs9SHeKoDjFA1YxDbZXrKA7PcaUxGOG9qHvu/+O4\nrfT63XXNftRv2guTX2i5y8tMjCPBluNwX4IthxoBGdSsc0OpfWXFUTPoDgLj/1lmj2f9RndQM7j8\n1yCIxpfskb2+TiOC65W/vIxzv1wyMQ70OUtwvdLxliUu33bJxNgUaHPqnlc03kudY1D4erZ++yTx\nBUnkGlYCTF7U9a3NgFvW4OfE78r/zkT/1O58lvhNqWXtout0J7BB+a+dw9Krwd9x8QxuSbS3b99O\nixYtiIiIKPdnzp69sslHLla8IH1Vpzg8i+LwLNUhjuoQA/wRR1X6AqO2ynUUh+dwVQw9gzuDo/W7\ngztzLjkXKJ2ElyUl9eQlE8WTCScJK7y+xPZLxxFwydndM7MCyMwq/zUwW6KIMPlxwigdU4TJj5zC\nKLKcuKapSScuGe/pxBOEGOUvr9Cof8mh1IW265265xWJtzy/V12aLS01N0Gyk78rxUzhw+lbaJRa\n1i49fDhpV/D7XRXbKvFcbkm09+3bR0JCAvv27SM5ORkfHx/CwsJo27atO6ojIiJSitoqkbK5cv3u\nmt41L5ko1vSu6XSZrpzd3eYdTK9anfna0YOFWp3JcXJiNVe/s+zqZeNcHe/FdXXF3ASuXtZOpDK4\nJdGeMmWK/c/vvfceERER+uIiIiIeRW2VSNlcmej4BTQmwhzICVtWqX0R5kD8AhqV0f9bNlfP7u7K\nBwuVsZ66q5eNc2W8lclVy9qJVAatoy0iIiIiFeKKRMfmHUzP4M5/iMreAAAgAElEQVRs/9+s4xf2\noN4R3JncatiDak+MLSlF7yxfYWLs6gcL6jEWuXJuT7SHDx/u7iqIiIhcktoqkcqVV+8h+pq8Ha6j\n7Ulc1YNanBjXDMrlVNx3LltP3dXLxqnHWKTi3J5oi4iIiMi17VrtQa0Z3JTQ0AB3V0NEKoESbRER\nERHxCOpBFZHqwuzuCoiIiIiIiIhUJ0q0RURERERERFxIibaIiIiIiIiICynRFhEREREREXEhJdoi\nIiIiIiIiLqREW0RERERERMSFlGiLiIiIiIiIuJASbREREREREREXUqItIiIiIiIi4kJKtEVERERE\nRERcSIm2iIiIiIiIiAsp0RYRERERERFxISXaIiIiIiIiIi6kRFtERERERETEhbzdcdL8/HzWrFlD\neno6hYWFDBkyhI4dO7qjKiIiIg6prRIREZGKckui/f3339O0aVPuueceEhMTmT9/vr68iIiIR1Fb\nJSIiIhXllkT71ltvtf85OTmZsLAwd1RDRESkTGqrREREpKJMhmEY7jr5rFmzSE5OZtq0aTRs2NBd\n1RARESmT2ioRERFxllsTbYATJ06wevVqlixZgslkcmdVREREHFJbJSIiIs5wy6zjx44dIykpCYBG\njRphtVrJyMhwR1VEREQcUlslIiIiFeWWRPunn35i8+bNAKSlpZGXl0fNmjXdURURERGH1FaJiIhI\nRbll6HhBQQHr1q0jOTmZgoIChg4dSqdOna52NURERMqktkpEREQqyu3vaIuIiIiIiIhUJ24ZOi4i\nIiIiIiJSXSnRFhEREREREXEhb3dXwB3eeOMNfv31V0wmE6NGjaJZs2burlKZDh8+zIsvvkj9+vUB\naNCgAXfffTerV6/GZrMREhLChAkT8PHxYceOHWzZsgWTyUTfvn3p3bu3m2tf5NSpUyxZsoSBAwcS\nExNDUlJSuetvsVhYu3YtiYmJmM1mYmNjqVu3rttjWLNmDceOHbNPjHT33XfToUMHj44BYMOGDfz8\n88/YbDYGDx5M06ZNq9y9cBTH3r17q9z9yM/PZ82aNaSnp1NYWMiQIUNo2LBhlbofjmLYvXt3lbsX\nnqgqtVNQ9duq6tBOOYpDbZVnxVHV2qrq0E6VFYfaKrkqjGvM4cOHjYULFxqGYRhxcXHGjBkz3Fyj\nS/vxxx+NpUuXlti2Zs0a4//9v/9nGIZhvP3228a2bduM3NxcY+LEiUZ2draRn59vPP3000ZmZqY7\nqlxCbm6u8fzzzxvr1683tm7dahiGc/X/6quvjFdeecUwDMM4cOCA8eKLL3pEDKtXrzb27t1b6jhP\njcEwDOOHH34wFixYYBiGYWRkZBjjx4+vcveirDiq4v3473//a2zatMkwDMNISEgwJk6cWOXuh6MY\nquK98DRVrZ0yjKrdVlWHdqqsOKri30e1VZ4TR3Vop8qKo6rdC6marrmh4z/88AOdO3cG4Prrryc7\nO5ucnBw318o5hw8fts9826lTJw4dOsRvv/1G06ZNCQwMxNfXl5YtW/LLL7+4uabg4+PD9OnTCQ0N\ntW9zpv4//vgjXbp0AaBNmzYcOXLEI2JwxJNjAGjVqhVTpkwBoEaNGuTn51e5e1FWHDabrdRxnh7H\nrbfeyj333ANAcnIyYWFhVe5+OIrBEU+OwRNVh3YKqk5bVR3aqbLicMTT41Bb5TlxVId2qqw4HPH0\nOKTqueaGjqelpdGkSRP7z8HBwaSlpREYGOjGWl3a6dOnWbRoEVlZWQwbNoz8/Hx8fHyAP+qflpZG\ncHCw/TPF293Ny8sLLy+vEtucqf+F281mMyaTCYvFgrf31fvVdRQDwKeffsrmzZupVasWjz76qEfH\nUHxuf39/AL788kvat2/PwYMHq9S9KCsOs9lc5e5HsVmzZpGcnMy0adOYN29elbsfF8ewefPmKnsv\nPEVVbKeg6rZV1aGdArVVVSGOqtpWVYd26uI41FbJ1XDN/4YYHr66Wb169Rg2bBjdunUjPj6euXPn\nYrVa3V0tt/GU+9WjRw9q1qxJo0aN2LRpE++//z4tW7Ys12fdHcOePXv48ssvmTVrFhMnTqxwOZ4U\nx++//15l78f8+fM5ceIEq1atuqK6uDOOC2N45JFHquy98FRV4bqorfqDJ90vtVWeFUdVbauqQzsF\naqvk6rvmho6HhoaWeHqempp62WFW7hQWFsatt96KyWQiMjKSkJAQsrOzKSgoACAlJYXQ0NBScRVv\n90T+/v7lrv+F2y0WC4ZheMQTxDZt2tCoUSOgaOjUqVOnqkQMBw4cYOPGjcyYMYPAwMAqey8ujqMq\n3o9jx46RlJQEQKNGjbBarQQEBFSp++EohgYNGlS5e+Fpqlo7BdWvraqq/zZerCr+2whqqzwljurQ\nTpUVh9oquRquuUS7Xbt27N69Gyj6ixcaGkpAQICba1W2HTt28NFHHwFFwwnT09Pp2bOnPYbdu3dz\n880307x5c37//Xeys7PJy8vjyJEj3Hjjje6sepnatGlT7vpfeL++//57Wrdu7c6q2y1dupT4+Hig\n6F2++vXre3wMOTk5bNiwgWnTphEUFARUzXvhKI6qeD9++uknNm/eDBT93c7Ly6ty98NRDH//+9+r\n3L3wNFWtnYLq11ZVtb+LZamK/zaqrfKcOKpDO1VWHGqr5GowGdfg+Ie3336bn3/+GZPJxJgxY+xP\ntDxRbm4uK1euJCcnB4vFwtChQ2ncuDGrV6+msLCQ2rVrExsbi7e3N7t37+ajjz7CZDIRExND9+7d\n3V19jh07xptvvkliYiJeXl6EhYUxceJE1qxZU67622w21q9fz7lz5/Dx8SE2NpbatWu7PYaYmBg+\n/PBDfH198ff3JzY2llq1anlsDABffPEF77//PvXq1bNve/LJJ1m/fn2VuRdlxdGzZ0+2bdtWpe5H\nQUEB69atIzk5mYKCAoYOHWpfwqaq3A9HMfj7+/P2229XqXvhiapSOwVVu62qDu1UWXGorfKsOKpa\nW1Ud2qmy4lBbJVfDNZloi4iIiIiIiFSWa27ouIiIiIiIiEhlUqItIiIiIiIi4kJKtEVERERERERc\nSIm2iIiIiIiIiAsp0RYRERERERFxIa22LnIRwzDYunUrX331FRaLBYvFQlRUFPfffz9NmjQBipYa\nmTBhAjfccEOZ5axZs4bIyEiGDBlS7nMfPnyY9evXs2rVqlL7jh07xoYNG0hJScEwDIKCghgxYoS9\nDl988QV9+/Z1MloREamK1FaJiHg2JdoiF/nnP//J4cOHmTFjBqGhodhsNv7v//6PefPmsXLlSoKD\ng696nQzDYNGiRTz++ON06NABgG+//ZbFixezbt06cnNz+eijj/TlRUTkGqG2SkTEsynRFrlAVlYW\nW7ZsYcmSJYSGhgJgNpvp168ft99+OwEBAaU+s2vXLv79739jtVoJDQ3l8ccfJzIyEoCUlBTmzJlD\nYmIijRs3ZsKECfj7+3P06FFee+018vPzMZlMjB49mrZt25ZZr8zMTFJTU2nevLl92y233EKzZs3w\n8/PjmWeeITk5mcmTJ7N06VLOnz/PK6+8QlpaGt7e3sTGxtK0aVO+/vprdu3aRVBQEEePHsXX15c/\n//nP1KtXz8VXUkREKovaKhERz6d3tEUucPToUWrXru2wMXf0xSUpKYmXX36ZZ599lhUrVtChQwde\neeUV+/4DBw7wzDPPsHr1arKysvjyyy8BePnll7n77rtZsWIFgwcPLvEZR2rWrEnTpk2ZO3cuX375\nJQkJCQCEh4cD8MQTT1C7dm1WrFiB2WxmyZIl3HHHHaxcuZLHHnuMxYsXY7VaATh06BD9+/dn1apV\ndO7cmQ0bNlTsYomIiFuorRIR8Xzq0Ra5QHZ2donhdtnZ2cycOROAvLw8BgwYwD333GPff+jQIVq3\nbm3vFejTpw8bNmywf1Fo3769vbxbbrmFo0ePcuedd7JkyRJ7GTfeeKP9y0hZTCYTs2fPZvPmzWzZ\nsoX169dz/fXXc//993PLLbeUOPbs2bOkp6fTq1cvAG644QaCg4M5cuQIANdffz0tWrSw1+n//u//\nnL9QIiLiNmqrREQ8nxJtkQsEBweTmppq/7lGjRqsWLECgPXr15Ofn1/i+IyMDGrUqGH/OTAwECga\nPldc3oX7srOzAdixYwdbt24lNzcXm82GYRiXrVtgYCDDhw9n+PDhpKWl8fXXX7NixYoSX4Sg6AtX\nfn4+U6ZMsW/Lzc0lKysLgKCgoBLxFW8XEZGqQW2ViIjnU6ItcoEWLVqQnp7O8ePHady48WWPr1Wr\nFkePHrX/nJWVhclkombNmvafL9xXo0YNUlJSePnll1mwYAGNGjXi3LlzTJo06ZLnSU5OJjEx0T5r\na0hICIMHD2bXrl2cPn3afj6A0NBQAgMD7V+6LvT111+TkZFRok4XfpkRERHPp7ZKRMTz6R1tkQsE\nBAQwZMgQVq9ezfnz5wGw2Wz897//ZdeuXfZhd8Xatm3Lzz//THx8PACff/457dq1w8vLC4D9+/eT\nlZWFzWZjz5493HjjjWRkZODn50dUVBRWq5UvvvgCKBruV5bk5GSWLFnCsWPH7Nt+++03kpKSaNq0\nKV5eXuTl5WG1WqlTpw5hYWHs3r0bKOrJWLFihb38s2fPcvz4cQB2797NjTfe6IpLJyIiV4naKhER\nz6cebZGL3HPPPQQFBbFs2TIKCwspLCwkKiqKp59+mnbt2pU4Njw8nMcff9w+gUtERATjxo2z7+/Y\nsSPLli0jISGBpk2b0qtXL3x8fGjfvj2TJk0iJCSEESNG8MsvvzBnzhxGjhzpsE4tWrRg3LhxvPLK\nK+Tk5GCz2QgJCWHKlCnUqVOHoKAggoKCGDduHIsWLWLy5Mm88sorvPvuu5hMJgYNGoS/vz8ALVu2\n5JNPPuHnn3/G39+fqVOnVt7FFBGRSqG2SkTEs5mM8rxwIyLVwtdff82OHTuYPXu2u6siIiLikNoq\nEakONHRcRERERERExIWUaIuIiIiIiIi4kIaOi4iIiIiIiLiQerRFREREREREXEiJtoiIiIiIiIgL\nKdEWERERERERcSEl2iIiIiIiIiIupERbRERERERExIWUaIuIiIiIiIi4kBJtERERERERERdSoi0i\nIiIiIiLiQkq0RURERERERFxIibaIiIiIiIiICynRFrdr2bIl77//vlvrMGvWLB555BG31kFERDyX\n2ioREXGGt7srIOIJ5s+f7+4qlMvRo0c5ceIE0dHRV/W8cXFx/O1vf+PQoUMYhkG7du2YOXMm9evX\nd3h8//79OXv2bIlthmFQWFjIkSNHKlSmiMi1Tm3VpVWkXdm8eTOvvfYaJ06coE6dOgwYMICJEyfi\n5eVlL3Px4sXs3bsXi8VCq1atmDp1Kq1bt75aYYlIFaUebZEqZOPGjXz22WdX9ZyFhYU89thjBAcH\ns3nzZrZt20ZoaChjx46lsLDQ4We2bdvGDz/8UOK/6Oho7rvvvgqXKSIiVUNVaau+++47pk2bxrhx\n4/j2229ZtWoVH330EevWrQMgPz+fUaNGERgYyLZt2/jqq6+IjIzk8ccfJz8//2qGJyJVkBJt8Thv\nv/02d911FzfffDM9evRgyZIlWCwW+/7t27czdOhQOnbsSNeuXZkyZQopKSn2/S1btuSNN96gf//+\njBo1yr7t448/ZuLEiXTs2JHbb7+d9evX2z8zbdo0HnzwQQC+/fZbWrZsyYEDBxg+fDg333wz/fv3\nZ/v27fbjT548ycMPP0zbtm3p168fn376KQMHDmTVqlXlivH06dO0bNmSf/3rX/Ts2ZMZM2YAcPDg\nQUaMGEGXLl3o3Lkzjz32GHFxcQA888wzvPHGG3zyySe0adOGpKSkcl2vC23atIk2bdo4/K9///4O\nP7Nz505OnjzJ9OnTCQsLIzg4mOeee464uLgS1+RSvvjiC/bs2cP06dNdVqaIiDuprar6bdWGDRvo\n0aMHAwYMwNfXl5YtWzJq1CjeeustbDYbCQkJdO7cmWnTphEcHExQUBCjRo0iMTGR33//vVzXUESu\nYYaIm7Vo0cJ47733DMMwjPfff9/o0qWLsWfPHsNqtRo///yz0bNnT2PVqlWGYRhGfHy80bp1a2PD\nhg2G1Wo1EhISjEGDBhlTp04tUd7AgQONX3/91bDZbPZt0dHRxp49ewyLxWL861//Mlq0aGEcOXLE\nMAzDeO6554wHHnjAMAzD2L17t9GiRQvj0UcfNU6dOmXk5+cbzz33nNG1a1d7eQ8//LAxfPhwIzEx\n0UhOTjbGjh1rtG/f3njppZfKFXNcXJzRokUL48EHHzTOnTtn2Gw2Iz8/3+jSpYuxZMkSo7Cw0MjI\nyDBGjx5tPPTQQ/bPPfzww8Yzzzxj//ly18sVXnzxRSM6OrrU9ujoaGPp0qWX/Xxubq7RvXt34+OP\nP3ZZmSIiV5vaqurXVnXv3t1Yt25diW379u0zWrRoYfz+++8OP7Nt2zbjxhtvNBITE6+80iJSralH\nWzzKhg0buP/+++nUqRNms5kbbriBRx991D4BTUREBDt27OCBBx7AbDZTp04dunfvzsGDB0uUc/vt\nt9OsWTNMJpN9W58+fejUqRNeXl7cddddAPb3hR0ZOXIk9evXx9fXlwEDBpCSkkJCQgJJSUl89913\njB07ltq1axMWFsaMGTPIzs52Ot4BAwYQGRmJyWTC19eXzz//nIkTJ+Lt7U3NmjXp06dPqdicuV6u\nkJqaSq1atUptDw0NJTk5+bKff/PNNwkJCWHgwIEuK1NExJ3UVlWPtiolJaXUZ0JDQ+37LhYfH8/8\n+fN56KGHqF27tgtqLSLVmSZDE49y7Ngxfv31V15//XX7NsMwACgoKMDX15cPP/yQ9957j7Nnz2K1\nWrFarURGRpYox9HEJw0bNrT/OSAgAIC8vLwy69KgQQP7n/39/e3HZ2ZmljpH48aNCQkJKXecjs4B\n8PXXX/P6669z4sQJLBYLNputzKF1UL7rVZku/HLoSEFBAa+99hp/+ctfLntsecsUEXE3tVXVq60q\nj59//pnx48fTtWtXpk2b5oJaiUh1p0RbPIq/vz+xsbH299Uu9sEHH7B48WIWLVpEdHQ0fn5+LFu2\njE8++aTEcY4abbPZuQEcZR1vs9kA8PHxcao8Ry4s49tvv2Xq1Kk899xzDB8+nBo1avDuu+8yZ86c\nMj9/uet1sU2bNjF79myH+6Kioti2bVup7eHh4aSlpZXanpqaetkn+t988w15eXn06tXLZWWKiLib\n2qrq0VbVrl271GdSU1MBqFOnjn3b9u3bmTJlCmPHjiU2NrZcMYiIKNEWj9KoUSN++umnEtuSk5Px\n9/enRo0a7N+/n6ZNm9qH0wGXHK5WGSIiIoCiSWKaNm0KwIkTJxw28M44ePAgNWrUYPTo0SW2Xcrl\nrtfFBg8ezODBg52qV/v27Vm/fj3JycmEh4cDkJSUxKlTp+jUqdMlP7t161ZuvfVWAgMDXVamiIi7\nqa2qHm1V+/btS9X9+++/p06dOvZe/F27djF58mQWLlxITEyMU3USkWub3tEWj/LII4+wZcsWtm7d\nSmFhIXFxcYwbN46FCxcCRcPXzp8/z5kzZ0hPT2f16tXk5OSQlpZGTk7OValjZGQkrVu35tVXXyU1\nNZWUlBQWLVpUKpl0Vv369cnNzeXw4cNkZ2fzz3/+k+PHjwPY16QOCAjgzJkzZGZmUlBQcNnr5Qq3\n3XYbzZo1429/+5s93vnz59OiRQtuvfVWAD7//HNiYmKwWq0lPnvgwAFatWpVoTJFRDyV2qrq0VY9\n8sgj7Ny5ky1btlBQUMAPP/zA66+/zujRozGZTGRnZzNt2jSmTp2qJFtEnKZEWzzKwIEDmTp1KsuX\nL6dDhw48/PDDtG/fnlmzZgHw4IMP0qVLFwYNGsSgQYPw9/dn2bJlBAcH06tXr0u+x+ZKf/vb38jK\nyqJ79+6MHDmSBx98kKCgoCt6Dyw6Opp7772XkSNH0rdvX+Li4li7di3NmjVj0KBBnDx5kuHDh/Pb\nb79xxx13cPTo0cteL1fw8vLi73//O7m5ufTu3Zu+fftisVj4+9//jpeXFwCZmZkcP37c/s5dsYSE\nBMLCwipUpoiIp1JbVT3aqptvvpkXX3yRtWvX0qFDByZMmMCIESN49NFHgaKlKc+fP8+CBQtKLTO2\ndu1al9VdRKonk3HxN2MRKZcLJ3ApLCykffv2zJ07lyFDhri5ZiIiIkXUVomIuId6tEUqYPz48Ywe\nPZqUlBTy8/NZvXo13t7e3Hbbbe6umoiICKC2SkTEna5Kj/apU6dYsmQJAwcOJCYmhqSkJFavXo3N\nZiMkJIQJEya4ZFZMkaslPj6ev/71r+zZswer1UrTpk2ZMmUK3bp147HHHmP37t2X/PyBAwc0RFrE\ng6idkupIbZWIiPtUeqKdl5fHokWLiIyMpGHDhsTExLB27Vrat29Pt27deOedd6hduzbR0dGVWQ0R\nERGH1E6JiIiIq1X60HEfHx+mT59OaGiofdvhw4ftSy106tSJQ4cOVXY1REREHFI7JSIiIq5W6eto\ne3l5lRp2lJ+fbx+CFxwcfMVrOoqIiFSU2ikRERFxtUpPtF2leG1GV4mKinJ5me6gODxLeePIy7WR\nnWWjRpAZ/wDPm5PwWrsfnqw6xAB/xBEVFeXuqlSqK71X1eV+g2LxVIrFM1WnWKDqx1Pd2yq5OtyS\naPv7+9uXm0hJSSkxXE/kWuAf4JkJtogUUTslIiIiV8It3/TbtGljn+ly9+7d3Hzzze6ohoiIiENq\np0RERORKVHqP9rFjx3jzzTdJTEzEy8uL3bt3M3HiRNasWcMXX3xB7dq1ueOOOyq7GiIiIg6pnRIR\nERFXq/REu0mTJjz//POlts+ePbuyTy0iInJZaqdERETE1fSSqIcy0pIxjh7GSEt2d1VERERERETE\nCVVm1vFrhZGXi+3VZXDiV8hIg+AQaNQc89hnMPkHuLt6IiIiIiIiLrd27Vo++OADPv/8c3dXxSXU\no+1hbK8ug4PfQXoqGEbR/w9+V7RdRERERESkAtatW4fNZiv38Xv37mXXrl2VWKOSYmNjq02SDUq0\nPYqRllzUk+3IiV81jFxERERERJx25MgRVqxY4VSi/Y9//MO+Aoc4T4m2J0k4XzRc3JHMdEiMv7r1\nERERERGRKuOTTz7hrrvuon379nTp0oWnnnqKjz76iPvuuw+A9u3b89prrwGwfft2hg4dSseOHena\ntStTpkwhJSUFgAceeIDPPvuMV155hU6dOgFgtVpZvXo1/fv3p127dvTp04dXX331iusXH1+U46xa\ntYoePXoARcPI27RpU+K/li1bsnr1antZb7/9NnfddRc333wzPXr0YMmSJVgsliu7gC6kRNuTREQW\nvZPtSM1aUKfu1a2PiIiIiIhUCfHx8Tz77LP8+c9/Zt++fWzbtg0oSqjnzZsHwP79+xkzZgwJCQk8\n+eST3HvvvezZs4ePP/6Y3377jUWLFgHw7rvvct111/HYY4+xd+9eAFavXs2mTZt46aWX2LdvH4sW\nLWLdunVs2rTpiuq3ePHiUsfGxsbyww8/2P+bOXMmtWrV4p577gHg3//+Ny+99BJz5sxh3759/P3v\nf2fLli2sX7/+yi6iCynR9iCmkHBo1NzxzkbNi/aLiIiIiIhcJCsrC6vVSkBAACaTidDQUFatWsWy\nZaXneoqIiGDHjh088MADmM1m6tSpQ/fu3Tl48KDDsm02G++88w6PPfYYLVu2xMvLi06dOjFs2DDe\ne+89l9fvQocOHWLhwoUsXbqU+vXrA7Bhwwbuv/9+OnXqhNls5oYbbuDRRx/l/fffL1ddrgbNOu5h\nzGOf+WPW8cz0op7s/806LiIiIiIi4kjTpk0ZOXIko0aNokWLFnTt2pUBAwbQrl07h8d/+OGHvPfe\ne5w9exar1YrVaiUyMtLhsSkpKaSlpTFv3jzmz59v324YBnXq1KmU+hWfd+LEiYwfP94+rBzg2LFj\n/Prrr7z++usl6gJQUFCAr69vuepUmZRoexiTfwBeT80qmvgsMR7q1FVPtoiIiIiIXNbMmTMZO3Ys\nO3fu5JtvvuGhhx5izJgxNGzYsMRxH3zwAYsXL2bRokVER0fj5+fHsmXL+OSTTxyW6+/vD8Dy5cvp\n16+fy+s3ZcqUUsdarVamTJlC69atGT9+fKn6xMbGMmrUqArXpbJp6LiHMoWEY2reSkm2iIiIiIhc\nls1mIy0tjbp16zJkyBBWrlzJnDlzeOutt0odu3//fpo2bcpdd92Fn58fQJnDxgGCgoKoXbs2P/30\nU4nt8fHxFBQUuLx+AMuWLSM+Pp5FixZhMplK7GvUqFGpuiQnJ5OdnV2uulwN12yivevLQ3y88UcO\n7Tnm7qqIiIhw8uRJPv74Y06ePOnuqoiISBW0efNmBg0axKFDhzAMg+zsbH788UeaNGlCQEAAAL/9\n9htZWVk0aNCA8+fPc+bMGdLT01m9ejU5OTmkpaWRk5MDQEBAAKdOnSIzMxOr1cojjzzC22+/za5d\nu7Barfzyyy/86U9/ss9ifiX1u9i2bdv417/+xZo1awgKCiq1/5FHHmHLli1s3bqVwsJC4uLiGDdu\nHAsXLryCK+ha19zQ8XOnktjxX/AzeWHiOo7/Dr/8lkT326Beg9rurp6IiFxj0tLS2LBhQ4m1Tc1m\nMw8//DAhIWWsRCEiInKRu+66izNnzjB58mSSkpIIDAykY8eOvPjii9SqVYsbb7yRoUOHMnLkSJ58\n8kn279/PoEGDCAoK4pFHHmHZsmU88sgj9OrVi+3bt/OnP/2JpUuX0qdPH7Zs2cKYMWPIzc1l+vTp\nJCcnExERwb333svjjz9+xfW72IYNG8jJyWHw4MEltkdFRbFt2zYGDhxIcnIyy5cvZ+rUqYSFhdGv\nXz/+/Oc/u+RauoLJKH5r3MOdPXvWJeW8988kAsylny/k2kyaGl4AACAASURBVCwMf7DqJdpRUVEu\nuzbupDg8i+LwHNUhBvgjjqioKHdXpVJV5F6tXr26RJJdzGw289RTT7miWm5RXX53QbF4KsXiuap6\nPNW9rZKr45oaOn5ozzH8TF4O9/mZvDSMXERErqqTJ086TLKh6F02DSMXERGpmq6poeMn43IwEepw\nnwk4GZdL285Xt04iInLtOnHixCX3nzx5stRMsSIiIp5mzpw5bNy48ZLHbNmyxb4O9rXgmkq0G9YP\n5PjvRUn1xQygUf2Aq10luUbl5drIzrJRI8iMf8A1NbBERC7QqFGjS87yqiRbRESqgrlz5zJ37lx3\nV8OjuCXRttlsvPLKK8TFxeHt7c1jjz3GddddV+nnbdu5Cb/8lkSAqXTY+YaVtp1Lz3gn4kqWQoN9\nu7NJS7GSn2fg528iJMyLDl1r4O3j6BGQiLjL1WirGjZsiNlsLvMdbSXaIiIiVZNbutL27t1LTk4O\n8+fPZ/z48WWunVYZut9WNPGZzTAwDAObYZBrs9D9tqtWBbmG7dudTfxZC/l5RXMQ5ucZxJ+1sG+3\n56z5JyJFrlZb9fDDD2M2l2yOi2cdFxERkarJLT3a586do1mzZgBERkaSmJiIzWYr9UWjMtRrUJvh\nDeDkL0kc+imeRvUD1JMtV0Vero20FKvDfWkpVvJybRpGLuJBrlZbFRISwlNPPcXJkydJTk4mPDxc\nPdkiIiJVnFsS7QYNGvDJJ58wcOBAzp8/T0JCAhkZGZdcL9TV0+xHRUXRrbdLi3Sb6rIEQXWP49zp\nbPLzMhzuK8g3CPAPo15UYGVWzSnV/X5UJdUhBqh6cVzttqqqXZ/yqE4xKRbPpFg8V3WLR8RZbkm0\n27dvz5EjR5gzZw4NGjQo1ztvrl6Lr6qv71dMcXiWS8WRl2/Dz99kHzZ+IV8/E7l5KZw9m1bZVSyX\na+F+VBXVIQaomutou6Otqi73GxSLp1Isnqk6xQJVP56q1FZVhvfee4/hw4df9rgtW7bQo0cPgoKC\nrvicU6dOJSYmht69XdsTmpWVxfPPP8+PP/6IYRjceeedTJo0CYDevXtjNpvx9v4jJf70008BiI+P\nZ9q0aZw8eZIaNWrwl7/8hc6dnVueym2zjj/wwAP2P0+YMIHg4GB3VUXkqvAPMBMS5kX8WUupfSFh\nXho2LuKB1FaJiIi7WJMTsZw7jXe96/EKr3N1zmm1snjx4nIl2i+99BIdOnRwSaK9ePHiKy7DkRdf\nfBEfHx+2bNlCTk4OgwcPplOnTtx2W9EEXW+88QbXX399qc9NmzaNHj16MHr0aHbv3s2GDRucTrTd\n8s3+xIkTrF27FoADBw7QuHHjq/J+toi7dehag7pR3vj5F80w7udvom6UNx261nBzzUTkYmqrRETE\nHWy5OST+9WnOTxpBwrTHOT95BIl/fRpbbo7LzmGxWJg5cyb9+/enX79+PPXUU2RlZTF69GgyMzOJ\niYkhLi6OY8eO8eCDDzJgwAD69evH5s2bAZg+fTrHjx9nxIgR7N27l4yMDJ599ln69+9Pnz59+M9/\n/uPwvN999x333nsvd955JwMGDGDr1q0AjBgxgg8//JBPP/2UmJgY+39t2rSxT0b6/fffM2TIEPr1\n68fw4cOJi4sDinqfBw0a5PB8/fr1Y+LEiZjNZoKCgrjhhhv49ddfL3ltzp07x+HDh+2Tknbt2pWV\nK1c6fY3d9o62YRhMnz4dX19fJkyY4I5qiFx13j4munQP0jraIlWA2ioREXGH5CWzyPv2G/vPtpQk\n8r79huQls6jzlxddco6dO3dy+vRp+1DplStXsn//fhYsWEB0dLR9+/jx4+nVqxfjxo1jz549jB07\nlv79+7Nw4UI2btzIW2+9RWRkJDNmzMBsNrN161bS0tK47777aNOmDS1atChx3kWLFjF9+nS6dOnC\niRMnWLVqFQMGDLDvL06wAfbs2cO0adO4++67ycrK4oknnmD58uXcdtttbN68mUmTJrFx40bq1q1r\nfwBwsW7dutn/nJWVxf79+xkzZox92+LFizl+/Di+vr7ExsbSp08ffvnlF66//nqWLVvGV199RZ06\ndZgxYwatWrVy6hq7JdE2m808+eST7ji1iEfwD1CCLeLp1FaJiMjVZk1OpODXnxzuK/j1J6zJiS4Z\nRh4WFsbvv//O559/zu23387kyZMBOH36dInj1q5di2EUzS/UsWNH8vPzSUxMLPUe+1dffcWrr76K\n2WwmLCyMfv368dlnn5VKtMPDw9m0aRPh4eE0bdqUZcuWOaxfeno6zz33HEuWLKFWrVps376dunXr\n2od8Dxo0iOeff77c878UFBTwzDPP0Lt3b9q3bw/AnXfeSffu3bnlllvYu3cv48aN44MPPiAjI4Oj\nR48SGxvLtGnTeO+993jqqaf47LPPSrzPfTn6pi8iIiIiIuIBLOdOY0tNcbjPlpaC5fwZl5ynbdu2\nzJo1i7feeovbbruNZ555hoyM0qvj7Nixg4ceeoj+/ftz5513YhgGNput1HGZmZlMnjzZ3iP9xRdf\nkJ2dXeq4BQsWEBAQwOjRo0v0nF9s5syZ3HfffXTs2BGAjIwM4uLiSgwr9/X1JSXF8bW6UHZ2NuPH\njycsLIy5c+fat//5z3/mlltuAaBTp0506dKFnTt3UrNmTcLDw+nbty8Aw4YNIz09nRMnTlz2XBdy\n22RoIiIiIiIi8gfvetdjDg3DlpJUap85JAzvyMuvgFFexQlrWloaM2bM4LXXXmPYsGH2/YWFhUye\nPJkVK1Zwxx13UFBQQNu2bR2WFRERwZo1a0r1YF+sdu3azJ49m9mzZ7Nz504mTJhA9+7dSxzzzjvv\nkJaWRmxsbInymzRpwsaNG52K0WKx8NRTT9G8eXNmzJhh315QUMDJkydp3ry5fZvVasXHx4eoqCiy\ns7Ox2WyYzWZMJhNms9npeVrUoy0iIiIiIuIBvMLr4Nvc8bvAvs1buWz28f/85z+sWbMGgJCQEJo0\naQKAj48PNpuNrKwscnNzycnJ4aabbgLgH//4Bz4+PuTkFE3K5u3tbe8F7927N++++y5QlNwuWLCA\nw4cPlzhnYWEhI0aMICEhAYDWrVvj7e1dIoE9evQo69evZ+nSpSW2t2vXjsTERA4ePAhAXFwczz77\nrH1Ye1neeustatSoUSLJBsjNzeX+++9n//79ABw5coR9+/bRrVs3WrZsSUREBO+//z4AW7duJTg4\nmAYNGpTr2hZTj7aIiIiIiIiHCH92PslLZlHw60/Y0lIwh4Th27wV4c/Od9k5+vTpw4wZM4iOjsbL\ny4uGDRvywgsvEBwcTMeOHenVqxcvv/wyY8eOZfDgwYSHh/PEE0/Qt29fxo8fz+bNm4mJieGBBx5g\n/vz5TJ48mblz59K/f38AunfvTsuWLUuc08fHh6FDhzJq1CigaC6U/5+9e4+Lqs4fP/6a4SIIAoIC\nUV6y1F2vJbtsrpqKIuCy6qq5tt9oM63ENFhdFcFLLoaKaymul0p3LVpzbeWRG6ukbWZY7ddL/rS1\nvlqKBhkXhWGYYbjO/P6YZXJkkNsZGOD9fDx6mHMOn8/5nKN+5n3en8vKlStxd3e3nLN3717Kysos\n5wCMGzeO+Ph4UlNTSUpKQq/X4+LiQmxsLCqVivz8fObOnWtzQbT9+/djMBgsC6yBOZNfm6lfs2YN\nFRUVuLu7s2nTJnr16gWYty6Lj4/ntddew8/Pj61btzZpfjaAytTQawAHofSm90FBQYqX2RakHY5F\n2uFYOkI7OkIb4Id2NGbBkvaspc+qozxvkLY4KmmLY+pIbYH23x5H6atqbhVSnfcdzoH3tto+2kI5\nktEWQgghhBBCCAfj5NdTAux2TOZoCyGEEEIIIYQQCpJAWwghhBBCCCGEUJAE2kIIIYQQQgghhIIk\n0BZCCCGEEEIIIRQkgbYQQgghhBBCCKEgCbSFaIRyg5FbhdWUG4xtfSlCCCGEEEIIByfbewlxF9VV\nJj7/tx5NUQ0V5Sa6uKnw8XVixCMeOLuo2vryhBBCCCGEEA5IMtrCIeh1VQ6ZMf7833ryb1RTUW4C\noKLcRP6Naj7/t76Nr0wIIYQQQgjlHThwoFHnHT58GJ1Op0idy5Yt48MPP1SkrDv95z//YeLEiSQm\nJlp9fuXKFaKjo4mMjOSXv/wlR48etRw7ePAgkydPJjIykjlz5pCdnd3keiWjLdpUbca4tKSUMn2N\nQ2WMyw1GNEU1No9pimooNxhxc28/76rKDUb0OiMenup2dd1CCCGEEJ1Roa6CXI2B+3zc6enZpVXq\nrKmpISUlhVmzZjV4bmpqKiNGjMDT07PF9aakpLS4DFtOnTrFunXrGDZsWJ1jsbGxzJkzhxkzZnDp\n0iVmz57NyJEjKSgoICUlhX/84x8EBATw9ttvk5CQwNtvv92kuuXbtmhTtRnjMr05oHWkjLFeZ7Rk\nsu9UUW5Cr3Os7Ht9qqtMnMrS8fHRUj790PzrqSwd1VW22yaEEEIIIdpOWWU1S9Iv8OSbp5n/9uc8\n+eZplqRfoKyyWrE6qqurSUxMJDw8nLCwMBYuXIhOp2POnDmUlpYSERFBTk4OV69e5fHHHycyMpKw\nsDAyMjIAWLFiBdnZ2URHR3PmzBm0Wi1Lly4lPDycCRMmcPDgQZv1njp1il/96leWbPGRI0cAiI6O\n5tChQ2RmZhIREWH5b+jQoaSlpQFw9uxZZsyYQVhYGLNmzSInJweA/Px8oqKibNbn6+vLvn37uP/+\n+60+r6mpYcGCBUydOhWAgQMH4uLiQm5uLleuXKFv374EBAQA8Mgjj/D11183+R63SUa7vLycP/3p\nT+j1eqqqqpg5cyYPPfRQW1yKaEOOnjH28FSjUoPJRjytUpuPtwe1LzNq3f4yI2RMy99ACtFRSV8l\nhBCiLazK+JKPr9y0/P6mvpKPr9xkVcaXbJ5eNzPbHCdPniQ3N5fMzEwAtm7dyrlz50hOTmbSpEmW\nz+fPn8/48eN59tlnOX36NPPmzSM8PJz169eTnp5OWloagYGBJCQkoFarOXLkCBqNhunTpzN06FAG\nDBhgVe/GjRtZsWIFISEhXLt2jW3bthEZGWk5XhtgA5w+fZr4+HimTJmCTqcjJiaGV155hVGjRpGR\nkUFsbCzp6ekEBARYXgDc6cEHH7T5uZOTE5MnT7b8/vz58wD07dsXX19fvv32Wy5fvkz//v05evQo\nP//5z5t8j9sk0P7oo48ICgriN7/5DUVFRfzhD39gy5YtbXEpog01JmPc1kOcVYCtK2wvy6A5+ssM\nIRyZ9FVCCCFaW6Gugi/ztDaPfZmnpVBXocgwcl9fX65cucKxY8cYPXo0cXFxAOTm5lqdt2PHDkwm\n87fh4OBgKioqKCwsJCgoyOq848ePs3v3btRqNb6+voSFhXH06NE6gbafnx/vvvsufn5+PPDAA2ze\nvNnm9ZWUlLB8+XI2bdqEt7c3J06cICAggFGjRgEQFRXFiy++yI0bN+pcS1N9//33LFmyhJUrV+Lu\n7o67uzuLFy9m2rRpeHh44O7uzltvvdXkchv8hv3ll1/y5ptvWv5//vz5xMTEcOHChaa34r+6detG\naWkpAHq9nm7dujW7LNF+eXiq6eJmO2Tt4qZq84yxXmfEWM/ocKORdjF0vKMMfxeiIdJXCSGE6Ahy\nNQaK9JU2jxWVVfKdxqBIPcOGDWPlypWkpaUxatQolixZglZbN8DPysrif/7nfwgPD2fy5MmYTCaM\nNr4gl5aWEhcXZ8lIf/DBB+j1daeCJicn4+7uzpw5c6wy53dKTExk+vTpBAcHA6DVasnJybEaVu7q\n6kpRUVGL7sPVq1eJjo7mueeeY8qUKYD5e8TOnTv54IMPOH36NEuWLCEmJsbywqGxGsxo/+Uvf2He\nvHkAvPHGG8yePZv+/fuTmppqc1J5Y4waNYqPPvqIRYsWodfriY+Pb/BnWvqmorXKbAvtuR2Xg77l\n+tW6qxUGBnnQ74H72uCKfuDtVcX/+9+rlvnjt+vq4US/B+7Bw9OlzjFHeh7eXlX8+8TXGG0ktdVO\n1NsGcKx2tERHaEdHaAPYtx0dqa/qKM8bpC2OStrimDpSW6Djtae13Ofjjq+HKzdtBNu+XV2518dd\nsbpqA1aNRkNCQgJ79uzhsccesxyvqqoiLi6OLVu2MHbsWCorK+vtU/39/dm+fXudDPadevTowapV\nq1i1ahUnT55k0aJFjBkzxuqcffv2odFoWLBggVX5/fr1Iz09vQUttpafn8+8efNYunSp1fD1zz77\njIcfftjyZ3jy5MksW7aM4uJifH19G11+g4F2dXU1AwcO5ObNm9y8eZNx48ZZPm+ujz/+mB49epCY\nmMi1a9fYtWsXGzZsuOvP3Lhxo9n12RIUFKR4mW2hvbdj0ENOlJc7U1pislp1fNBDTg7Rrm7eKsps\nrMvWzVtFibaQkjte/Dna8yg3GG2PfQcwmf+BcdPWHTngaO1oro7Qjo7QBvihHfb64tVR+qqO8rxB\n2uKopC2OqSO1Bdp/e9ryJUFPzy4MCvSymqNda1Cgl2Krjx88eJC8vDyef/55fHx86NevHwAuLi4Y\njUZ0Oh1Go5GysjKGDBkCmF9ku7i4UFZWBoCzszNarZbAwEBCQ0PZv38/q1evprq6mpSUFKZOncrg\nwYMtdVZVVfH000+zefNm/P39GTx4MM7OzqjVP3wXvXz5Mrt27eLAgQNWnw8fPpzCwkLOnz/P8OHD\nycnJITU1lZSUFFSq5k3qXLNmDb/97W+tgmyA+++/n7/+9a8UFxfTvXt3Tpw4Qc+ePenevXuTym8w\n0Far1dy6dYtjx45ZUvcGg4GaGtvzPhvj0qVLDB8+HDBPOC8uLsZoNFrdTNE5OLuoCBnjibdXT65e\n+d7htp4a8YgHn/9bj6aohopyk9X2Y+1BY4a/O9L9FqK5pK8SQgjRUSRFDWJVxpd8maelqKwS366u\nDAr0IilqkGJ1TJgwgYSEBCZNmoSTkxN9+vRhw4YNeHl5ERwczPjx43n11VeZN28e06ZNw8/Pj5iY\nGCZOnMj8+fPJyMggIiKC2bNns27dOuLi4li7di3h4eEAjBkzhoEDB1rV6eLiwsyZM3nqqacAc99d\nOy+61t69eykrK7OcAzBu3Dji4+NJTU0lKSkJvV6Pi4sLsbGxqFQq8vPzmTt3rs0F0bZs2UJmZibF\nxcXU1NRw9uxZwsLCeOKJJzh+/DjZ2dlW23YtW7aM0NBQLl68yOzZswHw9PRky5YtTQ7oVaYGBpt/\n9tln7NmzB29vb5YvX46/vz/r1q3joYceqncZ9Ya89957lJSU8MQTT1BYWMi6devYunXrXX9GMtq2\nSTtaR2P3oHa0dpQbjHx8tNTmPO0ubioendTNZnscrR3N1RHa0RHaAPbPaHeUvqqjPG+QtjgqaYtj\n6khtgfbfHkcZ9l6oq+A7jYF7W3EfbaGcBjPaI0eOZOTIkVafxcbGtmhRmLCwMHbs2MGaNWswGo08\n88wzzS5LiNbg5t76mfbGBvd34+auxsfXyWp7r1o+vk4tapMS1yeEUqSvEkII0dH09OwiAXY71mCg\n/eWXX3LmzBmefPJJvvzyS1JTU1GpVMTExDR7gRk3NzcWL17crJ/tLEyaW1CQB/6BqHz82vpyRCuq\nrjLVO1zd2aXpc1CUHv6u9PUJoQTpq4QQQgjhSNpk1XFRP1O5AePuzXDta9BqwMsH+vZHPW8JKjfl\nVhkUjuvzf+utMtAV5Sbyb1Tz+b/1hIzxbHJ5tfPglcpAK319QihB+iohhBBCOJIGv23bWsn13nvv\nbdFKrqJ+xt2b4fwpKCkGk8n86/lT5s9Fh1duMKIpsr14k6aoxryKeDO5uavx6+nc4uHi9ro+IVpC\n+iohhBBCOJIGv3HbYyVXYZtJc8ucybbl2tfm46JD0+uMNhcuA3PmWK9r20DW0a9PdF7SVwkhhBDC\nkTQYaM+cOZPly5dz5swZZs6cCcDmzZuZOHGi3S+u0ynIMw8Xt6W0BArzW/d6RKvz8FTTxc32POcu\nbio8PNt20TEPTzVdujju9YnOS/oqIYQQQjiSZq06/sILL+Dl5WW3i+q0/APNc7JLiuse6+YNPQNa\n/5pEq7LnKuFKMNdfz46AJlObX5/ovKSvEkIIIYQjaTDQrqysJCMjgwsXLlBSUoKPjw8jRowgMjIS\nZ+cGf1w0gcrHD/r2N8/RvlPf/rL6eCeh9CrhSio3GOsLszH997gE26ItSF8lhBBCCEfS4Dfi3bt3\nc+XKFaKionj22WeJjIzk4sWL7N27txUur/NRz1sCw0PAuzuo1eZfh4eYPxedQu0q4Y9O6sbPQ82/\nhozxdIits/Q6I5UVto9VVuBQc7TLDUa+z9XLAm2dhPRVQgghhDIOHDjQqPMOHz6MTqdTpM5ly5bx\n4YcfKlLW7eLj4xk9ejQRERGW/y5cuGA5/u677/Lwww9z6NAhq5/717/+xdSpU4mMjOTxxx/n8uXL\nTa67wdf8X3/9NS+//DIq1Q9f8oODg/n973/f5MpEw1Ru7jgtXGle+KwwH3oGSCa7k3Jzb9k2XPZQ\nO4fc1oJojjJH23qfb63s891JSF8lhBCio9HrqtBqKvHyccXD06VV6qypqSElJYVZs2Y1eG5qaioj\nRozA07Pl27umpKS0uIz6LF68mOnTp9f5/LXXXuPzzz/n/vvvt/o8Pz+f+Ph43n77bR588EH++te/\nsnr1avbv39+kehv1rbiqqsrq97KKq/2pfPxQ9R8kQbZwKLVzyG1xhDnk8MM+37UvA27f51t0bNJX\nCSGE6AiqKo1kHvqW9H1X+cc710nfd5XMQ99SVancKL3q6moSExMJDw8nLCyMhQsXotPpmDNnDqWl\npURERJCTk8PVq1d5/PHHiYyMJCwsjIyMDABWrFhBdnY20dHRnDlzBq1Wy9KlSwkPD2fChAkcPHjQ\nZr2nTp3iV7/6FZMnTyYyMpIjR44AEB0dzaFDh8jMzLTKPg8dOpS0tDQAzp49y4wZMwgLC2PWrFnk\n5OQA5sA4KiqqyffgZz/7GTt37sTDw3p6prOzM5s3b+bBBx8EzC/uv/nmmyaX32BGOyQkhNWrVzN2\n7Fg8PDzQ6XRkZWXxyCOPNLkyIUT75+hzyBva59sRXgYI5UlfJYQQoqP415Fcrl/9YUh2mb6G61d1\n/OtILhFTeytSx8mTJ8nNzSUzMxOArVu3cu7cOZKTk5k0aZLl8/nz5zN+/HieffZZTp8+zbx58wgP\nD2f9+vWkp6eTlpZGYGAgCQkJqNVqjhw5gkajYfr06QwdOpQBAwZY1btx40ZWrFhBSEgI165dY9u2\nbURGRlqO1wbYAKdPnyY+Pp4pU6ag0+mIiYnhlVdeYdSoUWRkZBAbG0t6ejoBAQGWFwC2ZGRk8Ne/\n/hWDwcCUKVN47rnnUKlUDB8+3Ob5fn5+PProo5bff/zxx/WeezcNBtqzZ8+md+/enDt3Dq1Wi7e3\nN1OnTpUvL0J0UrVzyMsNRvQ6Ix6ejjPEvTH7fDvKtQplSV8lhBCiI9DrqijMN9g8VphvQK+rUmQY\nua+vL1euXOHYsWOMHj2auLg4AHJzc63O27FjByaT+btVcHAwFRUVFBYWEhQUZHXe8ePH2b17N2q1\nGl9fX8LCwjh69GidQNvPz493330XPz8/HnjgATZv3mzz+kpKSli+fDmbNm3C29ubEydOEBAQwKhR\nowCIiorixRdf5MaNG3Wu5XY//elPMRqNTJ8+nYKCAubMmUNgYCDTpk1r1H367LPPeOONN3jjjTca\ndf7tGgy0VSoVo0aNsjTq9krv3EpFCNF5yBxy4UikrxJCCNERaDWVlOltj84zlNWgLVEm0B42bBgr\nV64kLS2N5cuXExoaypo1a+qcl5WVxc6dOykuLkalUmEymTAa6w5hLy0tJS4uDicn8xTDiooKS2b6\ndsnJyezcuZM5c+bg5ubG4sWLbZ6XmJjI9OnTCQ4OBkCr1ZKTk2N1rqurK0VFRXcNtGfMmGH5/3vu\nuYdf//rXHD9+vFGB9gcffEBSUhK7du2yDCNvimbveXLgwAH58iKEcCiOvg+5aH3SVwkhhGhPvHxc\n6erhZDPYdu/qhJe3coui1Q7T1mg0JCQksGfPHh577DHL8aqqKuLi4tiyZQtjx46lsrKSYcOG2SzL\n39+f7du318lg36lHjx6sWrWKVatWcfLkSRYtWsSYMWOsztm3bx8ajYYFCxZYld+vXz/S09Ob1MbL\nly/Tt29fXF1dAfPc9MZs+/npp5/y0ksv8ec//5kHHnigSXXWkm+dQogOZcQjHgQEOePaxbz6tGsX\nFQFBzg4xh7w9KTcYuVVYLdujCSGEEK3Iw9OFngHuNo/1DHBXbPXxgwcPsn37dgB8fHzo168fAC4u\nLhiNRnQ6HQaDgbKyMoYMGQLAG2+8gYuLC2VlZYB50TCtVgtAaGioZVXu6upqkpOTuXjxolWdVVVV\nREdHU1BQAMDgwYNxdnZGrf4hJL18+TK7du3ij3/8o9Xnw4cPp7CwkPPnzwOQk5PD0qVLLcPa67N6\n9WrefPNNwDwc/dChQ4wbN+6uP2MwGFixYgXbtm1rdpANLchoCyGEYzPd8atoDOvt0UyyPZoQQgjR\nyiZE3se/juRSmG/AUFaDe1cnega4MyHyPuXqmDCBhIQEJk2ahJOTE3369GHDhg14eXkRHBzM+PHj\nefXVV5k3bx7Tpk3Dz8+PmJgYJk6cyPz588nIyCAiIoLZs2ezbt064uLiWLt2LeHh4QCMGTOGgQMH\nWtXp4uLCzJkzeeqppwBQq9WsXLkSd/cfXizs3buXsrIyyzkA48aNIz4+ntTUVJKSktDr9bi4uBAb\nG4tKpSI/P5+5c+faXBBt48aNrF69mnfeeQe1Ws3UqVMtK5TPnTuX7777ju+//57s7Gx27tzJkiVL\nqKiooKioqM4WoW+99RY9evRo9D1Wmep5DXDp0qW7tjCYcwAAIABJREFU/mBqaqrlLUhruHHjhqLl\nBQUFKV5mW5B2OBYl29GWi4215+dxKktnc+h4QJAzIWNavs9ja2vtZ2Gv+1fbjrvNo2qOjtZXtee/\ne3eStjgmaYtj6khtgfbfHqX7qubS66rQllTh5e3SavtoC+XUm9FOTU296w+qVM3PbHz44Yd8/PHH\nlt9fuXLFsj+aEJ2dZBSbT7b3apn2eP+krxJCCNFReXhKgN2e1Rto2zMDEBoaSmhoKABffvkln376\nqd3qEqK9+fzfequMYkW5ifwb1Xz+b327zMi2Jtneq2Xa4/2TvkoIIYQQjqjNvzH9/e9/Z+bMmW19\nGUI4hMZkFEX9arf3skW292qY3L/6SV8lhBBCiKZo08XQvvnmG/z8/PDx8WnwXHvMlXCU+RctJe1w\nLC1px/e5eirKtTaPVVaYcHfz5Z6grs0uvyna6/O4HPQt16/q6nweGORBvweUW0SkNbXms7Dn/Wuv\nf6Zau69qr/fJFmmLY5K2OKaO1BboeO0RoqnaNND+8MMPG1xevZYshmabtMOxtLQd5RVGuripbA7f\nde2iwlBexI0bmpZcYqO05+cx6CEnysud0RTVUFlhwrWLeY77oIecHKpNjV3srrWfxe337/Y1Alp6\n/+y1GFpraM2+qj3/3buTtMUxSVscU0dqC7T/9rTHvko4njYNtC9evMjTTz/dlpcghENxc1fj4+tk\nc9VnH18nh5sf64icXVSEjPGk3GDE3c0XQ3mRQ903R1/s7vb711ar3jsa6auEEEII0VQNBtqfffYZ\n+/fv5+bNmxiN1vND33777WZXXFRUhJubG87OspW3ELcb8YhHvYGYaDw3dzX3BHVtlREATdFeFrtz\nc29fAbb0VUIIIYRwJA1+c3jzzTf57W9/y/33349ardyXLo1Gg7e3t2LlCdFRSEax4yo3GCm+VXe0\nAkDxrWqH3D6rvZC+SgghhBCOpMFvIx4eHjzyyCMEBATQs2dPq/9aol+/fiQkJLSoDCE6Mjd3NX49\nnSXw6kD0OiOVFbaPVVaYj4vmkb5KCCGEUMaBAwcadd7hw4fR6eouoNocy5Yt48MPP1SkrNvpdDp+\n//vfExERQXh4OFu3bq1zTn5+PsHBwaSnp1s+++c//0lUVBTh4eEsWrSI0tLSJtfd4Df4CRMmcPTo\nUSorK5tcuBBCiB84NTCGqKHjon7SVwkhhOhotFot2dnZaLW2d6Sxh5qaGlJSUhp1bmpqqmKBdkpK\nCqGhoYqUdbuXX34ZFxcXDh8+zMGDB3nvvff45JNPrM556aWXrEav3bhxg6SkJF577TXef/997r33\nXl555ZUm193g17p3330XrVbLnj176gzHa8m8NyGE6GxqbI8ab/RxUT/pq4QQQnQUFRUV7N+/n9zc\nXHQ6HZ6entx3333Mnj2bLl26KFJHdXU1a9as4cyZMxiNRgYOHMiGDRtYsGABpaWlRERE8Prrr1NV\nVUViYiIajYbq6mpiY2OJiopixYoVZGdnEx0dzfr16xkwYABJSUlcuHCB6upqFixYwIwZM+rUe+rU\nKdavX09FRQUmk4kXXniByMhIoqOjmTlzJl26dGHLli2W87/77juWLVtGdHQ0Z8+eJTk5Ga1WS/fu\n3dm8eTO9evUiPz+fuXPnkpGRUae+sLAw+vbti1qtxtPTkx/96Ed8/fXXjBo1CoATJ05gMBgICQmx\n/My//vUvRo4caVl9fubMmTz55JOsXr26Sfe4wUB73bp1TSpQCCGEbR6earp0UVFRUXf7ti5uKjw8\nHWeaQHtbI0D6KiGEEB3F/v37+eqrryy/Ly0t5auvvmL//v389re/VaSOkydPkpubS2ZmJgBbt27l\n3LlzJCcnM2nSJMvn8+fPZ/z48Tz77LOcPn2aefPmER4ezvr160lPTyctLY3AwEASEhJQq9UcOXIE\njUbD9OnTGTp0KAMGDLCqd+PGjaxYsYKQkBCuXbvGtm3biIyMtByPiIggIiICgNOnTxMfH8+UKVPQ\n6XTExMTwyiuvMGrUKDIyMoiNjSU9PZ2AgACbQTbAyJEjLf+v0+k4d+4cc+fOBcBgMJCSksKuXbvY\nvn275bxr167Ru3dvy+979+7NrVu3KCkpadK6LQ1+e+rZsycqlYqLFy/y6aefcvHiRZycnFo8700I\nIW5XbjByq9C8IFhH5eauxsfPyeYxR9m+rbrKxKksHR8fLeXTD82/nsrSUV1V9+WAI5G+SgghREeg\n1WrJzc21eSw3N1exYeS+vr5cuXKFY8eOYTAYiIuLY8yYMXXO27FjhyUwDQ4OpqKigsLCwjrnHT9+\nnCeffBK1Wo2vry9hYWEcPXq0znl+fn68++67XLlyhb59+7J582ab11dSUsLy5ctJSUnB29ubs2fP\nEhAQYMlER0VF8e233zZ6v/bKykqWLFlCaGgoDz/8MADbt28nKiqKXr16WZ1rMBhwdXW1/N7V1RWV\nSoXBYGhUXbUazGh//PHH/OUvf2Hw4MF4eHhw6dIl3nzzTebPn2+VYhdCiOZw9H2llebo27e1l+3H\n7iR9lRBCiI7g1q1b9c571ul0FBUV4eXl1eJ6hg0bxsqVK0lLS2P58uWEhoayZs2aOudlZWWxc+dO\niouLUalUmEymOttogjnrHhcXh5OTOaFQUVFhyUzfLjk5mZ07dzJnzhzc3NxYvHixzfMSExOZPn06\nwcHBgPkFRE5OjtW5rq6uFBUVWYZ410ev17No0SICAgJYu3YtAJcvXyYrK4t33nmnzvldu3a1WvOl\ndph7165d71rPnRoMtP/xj3+wadMmevToYfksLy+PzZs3y5cXIUSLtZfATqmh1I68fVu5wYimqMbm\nMU1RjUNvPyZ9lRBCiI7Az88PT09Pm6tce3p64uvrq1hdtcO0NRoNCQkJ7Nmzh8cee8xyvKqqiri4\nOLZs2cLYsWOprKxk2LBhNsvy9/dn+/btdYaK36lHjx6sWrWKVatWcfLkSRYtWlQnk75v3z40Gg0L\nFiywKr9fv35WK4M3RnV1NQsXLqR///5Wu4gcP36cvLw8xo8fD5hfFBw7doz8/Hzuv/9+Tp8+bTn3\n2rVr9OzZs8kvOBr8xlRdXW31xQUgMDCQ6mpZtUcI0TKNCezamr2GUjvi9m16nZGKctvtqig3OfT2\nY9JXCSGE6Ai8vLy47777bB677777FMlmAxw8eNAyL9nHx4d+/foB4OLigtFoRKfTYTAYKCsrY8iQ\nIQC88cYbuLi4UFZWBoCzs7NlKHtoaCj79+8HzH1ycnIyFy9etKqzqqqK6OhoCgoKABg8eDDOzs5W\ni5hevnyZXbt28cc//tHq8+HDh1NYWMj58+cByMnJYenSpZhMd/8+lpaWhoeHR52tOp977jn+93//\nl08++YRPPvmEyZMnk5iYSExMDBMnTuSzzz7j6tWrAOzdu5eoqKjG3lqLRs3RPnTokGVMellZGYcO\nHZJ5b0KIFmsPgV1txr32Om/PuHc0Hp5qurjZHq7vaIu13Un6KiGEEB3F7Nmz+fGPf0y3bt1QqVR0\n69aNH//4x8yePVuxOiZMmMDFixeZNGkSkZGRfPPNN8yZM4eePXsSHBzM+PHj+eabb5g3bx7Tpk1j\n2rRp9O7dm4kTJzJ//nzKysqIiIhg9uzZHD58mLi4OEpLSwkPD+cXv/iFZSXz27m4uDBz5kyeeuop\nJk+eTHR0NCtXrsTd3d1yzt69eykrK+Opp56yZNw3bNiAm5sbqampJCUlERkZyfPPP09ERAQqlYr8\n/Px6A+H9+/dz4cIFS1kRERFWq5rbEhAQwJo1a3j++eeZNGkSBoOBRYsWNfkeq0wNvAa4efMmr732\nGhcuXDD/gErF8OHDeeaZZ/Dz82tyhc3V2InujRUUFKR4mW1B2uFYpB1NU24w8vHRUpvBdhc3FY9O\n6taijG9L22Hv62uM1v4zdSpLZzWUv1ZAkHOLhvLXtqOheVTN1VH6qo7ybwhIWxyVtMUxdaS2QPtv\nj736qqbSarUUFRXh6+urWCZbtJ4G52j36NGDhIQEampqKC0txcvLq84epcLxmTS3oCAP/ANR+bTe\nl04h7sbNXY2XjxOFeXUDOy+ftl+FuzEZ97a+xlpKzfl29MXa6iN9lRBCiI7Gy8tLAux2rN5A+8CB\nA8yaNYtdu3ahUtkeSvjcc8/Z7cKEMkzlBoy7N8O1r0GrAS8f6Nsf9bwlqNzcGy5ACLurb1BN228n\nVTuUur6MtiMMpa5dtb34Vg2VFSZcu6jo7tf8VdsdebE2W6SvEkIIIYQjqjfQrn17Ut+Qu/q+0AjH\nYty9Gc6f+uGDkmI4fwrj7s04LVzZdhcmBOYsrFZjex62VmNs81WuHT3jDnDmU73V9VVWmOeQn/1U\nz8/GNn+ot5u7YwfYtaSvEkIIIYQjqjfQrt2jrGvXrvziF7+oc/zNN9+031UJRZg0t8yZbFuufY1J\nc6vZw8hlKHrLyP0zax9Dsx03415uMHKrwPaq2jcLqtv8RUVrkL5KCCGEEI6o3kD722+/5fr167z3\n3nt4e3tbHdPr9XzwwQc8+eSTdr9A0QIFeebh4raUlkBhPjQxyJOh6C0j98+aow/NdvSMe/Gtaoz1\nLMxuNJqP33Ofa+teVCuTvqp+Op2OkpISvL298fR0nD3phRBCiM6g3kC7srKS//u//0Ov1/Ovf/3L\n6piTkxNPPPGE3S9OtJB/oDmQKymue6ybN/QMaHKRMhS9ZeT+WXNzV+Pj62RzlWsf37Yfmt0+Mu6d\nm/RVdVVWVvL+++/z/fffU15ejpubG/fccw/h4eG4unbsFy9CCCGEo6g30H7wwQd58MEH6du3L2Fh\nYXWOX7582a4XJlpO5eMHfftbB3a1+vZv8pBlew5F7wzk/tnmyKtcO3rGvbufMyo1mGxktVVq8/GO\nTvqquv75z3+Sk5Nj+X15eTnZ2dkcPnyYadOmteGVCSGEEJ1Hg9/CwsLCuHTpEvn5+dRuuV1eXs6B\nAwfYs2dPsyvOysriH//4B2q1ml//+teMGDGi2WWJ+qnnLflhqHJpiTmT/d+hyk1WkGc7Ow7mYdDN\nGIreqdhhKH9H4MirXDt6xt3NXU0PfycK82rqHOvh3/bX15qkrzLT6XRWQfbtvv32W3Q6nQwjF0II\nIVpBg4F2WloaH330Eb169eLq1av06dOHvLw8fv3rXze70tLSUv7+97+zYcMGyxchR//y0l6p3Nxx\nWrjSnE0tzIeeAc3PmvoHgrMLVFfVPebk3Kyh6J2KHYbydySOusq1I2fcAX7yc8//bu9VTWUFuHYx\nZ7Id5fpai/RVZteuXWvw+JAhQ1rnYoQQQrRLtVtnNuTw4cM8+uijirzAXbZsGREREYSGhra4rNvp\ndDpefPFF/vOf/2AymZg8eTKxsbFW5+Tn5zN58mQSExOZPn261bG33nqLpKQkLl261OS6Gwy0T506\nxbZt2+jatSu/+93vSEpK4sKFC3z11VdNrqzWF198wdChQ3F3d8fd3V32OG0FKh+/TpktdSRKD+UX\nrcORM+7g+NfXWqSvMisrK7vrcYPB0EpXIoQQoqVMFcVQXgBu/qi6dG+VOmtqakhJSWlUoJ2amsqI\nESMUCbRTUlJaXIYtL7/8Mi4uLhw+fJiysjKmTZvGT37yE0aNGmU556WXXqqzoCpAQUEBf/vb35pd\nd4PfxpycnOjatSsAxv8ubzts2DBOnz7d7EoLCgqoqKhg48aNrF69mi+++KLZZYlWVJAHNba3EqKm\nxpwxF3elnrcEhoeAd3dQq82/Dg9p3lB+0arc3NX49XR22CDW0a/P3qSvMuvbt+9dj/fp06d1LkQI\nIUSzmWrKqf7PFmrOraHm/Hpqzq2h+j9bMNWUK1ZHdXU1iYmJhIeHExYWxsKFC9HpdMyZM4fS0lIi\nIiLIycnh6tWrPP7440RGRhIWFkZGRgYAK1asIDs7m+joaM6cOYNWq2Xp0qWEh4czYcIEDh48aLPe\nU6dO8atf/YrJkycTGRnJkSNHAIiOjubQoUNkZmYSERFh+W/o0KGkpaUBcPbsWWbMmEFYWBizZs2y\nTJXKz88nKirKZn1hYWG88MILqNVqPD09+dGPfsTXX/+wZtKJEycwGAyEhITU+dmXXnqJmJiYZt/j\nBjPaffr0YcOGDSxdupSgoCDefvtt7r//fvR6fbMrBfOQvKVLl1JYWMjatWvZsWMHKpWq3vODgoJa\nVF9rldkWWqsdNV1cyOvuh7HoZp1j6u6+BA4ZjpNfz+aVfasQv6J8nO+5r9llOIoGn0fyDmpuFVKd\n9x3Ogfc6bHvl74fj6AhtAPu2oyP1VS0pIygoiPfee89muz08PHjooYdacmnNup6OQtrimKQtjquj\ntac11Xy1C4rO/fBBZQkUnaPmq104D4lTpI6TJ0+Sm5tLZmYmAFu3buXcuXMkJyczadIky+fz589n\n/PjxPPvss5w+fZp58+YRHh7O+vXrSU9PJy0tjcDAQBISElCr1Rw5cgSNRsP06dMZOnQoAwYMsKp3\n48aNrFixgpCQEK5du8a2bduIjIy0HK8NsAFOnz5NfHw8U6ZMQafTERMTwyuvvMKoUaPIyMggNjaW\n9PR0AgICLC8A7jRy5EjL/+t0Os6dO8fcuXMB8yivlJQUdu3axfbt261+7sSJE+h0OiZPnszvfve7\nZt3jBgPt559/nqNHj+Lk5MSTTz7Jn//8Z86dO8dvf/vbZlUI4O3tzcCBA3FyciIwMBB3d3e0Wq3N\nlH2tGzduNLs+W4KCghQvsy20djuMvfqBjUDb2Ksf+RVV0MRrqd1XWv3tVYyaW+1+X+kmPY/u/tCM\ne9Ya5O+H4+gIbYAf2mGvL14dpa9S4nnPnj2bffv2WQ0Td3d3Z/bs2a36Z6mj/NkFaYujkrY4rvbe\nnrZ8SWCqKAbdVdsHddmYKooVGUbu6+vLlStXOHbsGKNHjyYuzhzA5+bmWp23Y8cOyyKjwcHBVFRU\nUFhYWOceHT9+nN27d6NWq/H19SUsLIyjR4/WCbT9/Px499138fPz44EHHmDz5s02r6+kpITly5ez\nadMmvL29OXHiBAEBAZYh31FRUbz44ouN/m5RWVnJkiVLCA0N5eGHHwZg+/btREVF0atXL6tzy8vL\n2bhxI7t27Wqw3LtpMNB2dXW1pOLvueceEhMTW1QhwPDhw9m+fTtTp05Fr9dTXl5Ot27dWlyusD9F\nVzHnh32lLbsTKbSvtElzyzzU3T9Q5j4L0QlIX/UDDw8PnnnmGQoKCsjLyyMwMBB/f39Fyr5+/TrX\nrl2jb9++MgxdCCHsobwAKrW2j1VqobwQFAi0hw0bxsqVK0lLS2P58uWEhoayZs2aOudlZWWxc+dO\niouLUalUmEwmyxSt25WWlhIXF4eTkxMAFRUVlsz07ZKTk9m5cydz5szBzc2NxYsX2zyvdmGy4OBg\nALRaLTk5OVbnurq6UlRU1GCgrdfrWbRoEQEBAaxduxYwb/+ZlZXFO++8U+f87du388tf/pLevXvf\ntdyG1BtoP//883cdHgfwpz/9qVmV+vr68sgjj1i+CD399NOo1Z1zXmF7o+Qq5vbYV7o2Q861r81b\nabXzDLkQ4u6kr6qfv7+/YgG2RqPhrbfesny5On/+PGq1mieeeAIfHx9F6hBCCAG4+YOrl3m4+J1c\nvcBNuSmHtcO0NRoNCQkJ7Nmzh8cee8xyvKqqiri4OLZs2cLYsWOprKxk2LBhNsvy9/dn+/btdTLY\nd+rRowerVq1i1apVnDx5kkWLFjFmzBirc/bt24dGo2HBggVW5ffr14/09PQmtbG6upqFCxfSv39/\nEhISLJ8fP36cvLw8xo8fD5hfFBw7doz8/Hw+/PBDiouLeeuttyznjxo1in379jXpJXO9gfaiRYsA\nuHDhAt9++y1jxozBw8MDrVZLVlYWP/7xj5vUyDuFhYURFhbWojJE21FkFXM77MtdmyG3UChDLoRw\nTNJXtY7bg+xaRqORt956i4ULF7bRVQkhRMej6tIdPPtZz9Gu5Xm/YquPHzx4kLy8PJ5//nl8fHzo\n168fAC4uLhiNRnQ6HUajkbKyMsu2kG+88QYuLi6WHS6cnZ3RarUEBgYSGhrK/v37Wb16NdXV1aSk\npDB16lQGDx5sqbOqqoqnn36azZs34+/vz+DBg3F2drZ6iX358mV27drFgQMHrD4fPnw4hYWFnD9/\nnuHDh5OTk0NqaiopKSl3feGelpaGh4eHVZAN8Nxzz1ntJhIfH09ISAjTp0+vswDawIED+eSTT5p6\ni+sPtH/0ox8B8Je//IUNGzZYNeCRRx5hxYoVTJkypckVirbhkEOpFd6X2x4ZcquyW/n+KV2nQ/4Z\nEKKFpK+yv+vXr9scJgjmYPv69esyjFwIIRTk9OP55gXRdNnm4eKuXuB5P04/nq9YHRMmTCAhIYFJ\nkybh5ORkWVTUy8uL4OBgxo8fz6uvvsq8efOYNm0afn5+xMTEMHHiRObPn09GRgYRERHMnj2bdevW\nERcXx9q1awkPDwdgzJgxDBw40KpOFxcXZs6cyVNPPQWAWq1m5cqVuLv/MOp07969lJWVWc4BGDdu\nHPHx8aSmppKUlIRer8fFxYXY2FhUKhX5+fnMnTvX5oJo+/fvx2AwWA05j4iIsMxJt6cG52hrtVpK\nS0vx8vKyfKbX69Fq65k7IBxKpxpKXZBnbqMtpSXNypC3xf1Tuk57tUECd+FIpK+yn2vXrt31uATa\nQgihLJWTG85D4v67j3YhuPVUfB9tHx8fduzYYfPYX//6V8v/jxgxgqVLl1p+XxtIA3UWMtu0aVOD\n9U6dOpWpU6fW+bx2C6+pU6eSnJxs82cffvhh/v73v9f5/G6rjr///vsNXhPAhg0b6j126dKlRpVx\npwYD7YkTJxIXF8egQYPo2rUrZWVlXLp0SYbStRMOPZS6MftyNyWA8w80B5G2hqN3825yhhza5v4p\nXafS5XWqlzei3ZC+yn769u3L+fPn6z3eGYJsrVbLd999h7e3N56enm19OTYVFBTw/fffc8899ygy\nN1+n01FSUuLQbRaio1N16a7IwmeibTQYaM+YMYOf/exnfPXVV+h0Ojw8PJg5cyZ9+/ZthcsTLWHP\nodSKuFtg7NX0wFjl4wd9+1sHlbX69m/6wmptcP+UrtMebXDolzei05K+yn769OmDWq22OXxcrVZ3\n6EC7srKS999/n4KCAvR6Pe7u7gQGBhIeHo6rq2uzy1UyKNbr9Ta3c/vNb36Dh4dHk8urbXNeXh4G\ng0GxNgshRGdT7/KptUPFLl26hF6vp3fv3gwaNIg+ffpQUVHR7BS6aEWNGUrdhiyBsS3NCIwBVNHP\nm4P32nmaKhV4+Zg/b6q2uH9K16lweY0J3IVoTdJXtY4nnniizorrtauOt9T169c5ceIE169fb3FZ\nSjty5AjZ2dno9XoADAYD2dnZZGZmNqs8vV7P66+/zv79+zlx4gT79+/n9ddft5TfHHcG2bXXuW/f\nvmaVV9vm2jJb2mZHUFBQwPnz5ykoKGjrSxF3UPrZyLMWjqTejHZaWhqrVq0iNTXV5nGVStXsLVNE\nK7HDUGql1e7Lrc65ilFT1OJ9uU1p260DS5MJtBrz503Nttrx/tU7v1npOpUuzw7z4IVoCemrWoeP\njw8LFy7k+vXrljnZLc1kO/qWYTqdjpycHJvHcnJy0Ol0TR5Sfbeg+JlnnmnyNRYUFNQpr1Z5eTkF\nBQVNypjbo81tSelsf3ui9FQCpSn9bDrzsxaOq95Ae9WqVYB5w27RPik9lNoeavflDujiQt5/zjvU\nvtz2uH8NzW9Wuk7F29AOXt6IzkX6qtalRIBdy9G3DMvLy6t3tfWamhry8vJ48MEHG12e0kExwPff\nf1/vMZPJRF5eXpPKVLrNbU3pFxvtgT0DTiWDd6WfTWd81sLx1Rtov/rqqw3+8O17jwnHVJsx5trX\n5oxjCzPG9uLk1xNV/0EtK8QO2Val719j5jcrXaeS5bWHlzeic5G+qn2y55Zh169f59q1a/Tt29eu\n88fvtm+rLUoHxQD33HNPvcdUKhWBgYFNKq8hTW1zW7LHi432wB4Bp9LBu9LPprM+a+H46g20fX19\n7/qD7ekf286sNmNs0twyB5otyBg7PDtkW2vvn/H6N3DlEjwwEHWf5r3Nb2zGXelnpnR57eXljegc\npK9qn+yxZZjSQ9EDAwPrXQTOycmJgICm9Sn2CIr9/f1xd3e3GWS4ubk1ObhQus3NoVTW1B4vNhyd\nvQJOpYN3pZ9NZ3zWon2oN9B+7LHH7vqDtXudifZB5ePX4efOttZQ75rmbmXVxIy70s9MqfI61csb\n4fCkr2qf7LFlmNJD0T09PenVq5fNRdruu+++Js9VVjoorvWb3/yGffv2UV5ejslkQqVS4ebmxm9+\n85sml9WcNisVGCudNbVntt9R5z/bI+C0R/Cu9LNp7ZEdQjRWg9t73bx5k4MHD1JQUGDpwMrLy7l1\n6xbR0dF2v0AhmqIthno3Wgeb39wZXt60J/UusNdJSF/Vvii9ZZi9hqJHRkbWu71XcygZFNfy8PDg\nmWeeoaCggLy8PAIDA1sU/NW22db2XrdTOjBWOmtqjxcb9pz//N1333HhwoUWBe/2CDjtEbwr/Wzs\n9RKrMztw4ACzZs1q8LzDhw/z6KOPKrJI4rJly4iIiCA0NLTFZd2utLSU1atX89VXX2EymYiMjCQu\nLs7qnPz8fCZPnkxiYiLTp0+3OvbWW2+RlJTUrF1MGgy0//SnPxEQEMCYMWN4++23mTVrFp999hlz\n585tcmVC2JuS2db2sLiaaD2OGsg2tMBeZyF9VfvzxBNP1MlCN3fLMHsMRQdwdXXll7/8JZ6enly+\nfBkvL68WfaFUOii+nb+/vyJl1bZZp9Oh1WrrbbOSgbG9hjwr/WLDnvOfa68Rmh+82yPgtFe2WOln\nY4+XWI5AV34TjeEGPu5BeLr1aJU6a2pqSEmdeaOyAAAgAElEQVRJaVSgnZqayogRIxQJtFNSUlpc\nhi2bNm2iZ8+evPLKK2i1Wn71q1/x8MMPM3bsWMs5L730Et7e3nV+tqCggL/97W/NrrvBQLu4uJgX\nX3wRgEOHDjFhwgRCQkJITU0lMTGx2RULYU+KZFvbweJqon4mzS0qivIxqZ1bFBg7eiCr6KiLdkz6\nqvZHyS3D7DEU/XZeXl4EBQW1qIzbKRUU25Onp2e9X56VDoztNcdWyRcb7WX+s9IBp72yxUq/dLLn\nS6y2UFlt4Mh/XiK/5BL6ymI8XLsT4D2QyCGJuDor892jurqaNWvWcObMGYxGIwMHDmTDhg0sWLCA\n0tJSIiIieP3116mqqiIxMRGNRkN1dTWxsbFERUWxYsUKsrOziY6OZv369QwYMICkpCQuXLhAdXU1\nCxYsYMaMGXXqPXXqFOvXr6eiogKTycQLL7xAZGQk0dHRzJw5ky5durBlyxbL+d999x3Lli0jOjqa\ns2fPkpycjFarpXv37mzevJlevXqRn5/P3LlzycjIqFPfpEmTGDhwIGD+t3zw4MFkZ2dbAu0TJ05g\nMBgICQmp87MvvfQSMTEx/O53v2vWPW4w0Far1RQXF9O9e3dUKhU6nY5u3brJRvCi47Pj4modYX5z\ne8jwFmhLwMu7RYGxIweySo+6qFO2Az7f+khf1X4psWWY0kPRxd0pHRjbe46tEi822sv8Z3sEnPbM\nFiv90qk9vMRqjCP/eYmrhZ9Zfq+vLOJq4Wcc+U8yUx9KUqSOkydPkpubS2ZmJgBbt27l3LlzJCcn\nM2nSJMvn8+fPZ/z48Tz77LOcPn2aefPmER4ezvr160lPTyctLY3AwEASEhJQq9UcOXIEjUbD9OnT\nGTp0KAMGDLCqd+PGjaxYsYKQkBCuXbvGtm3biIyMtByPiIggIiICgNOnTxMfH8+UKVPQ6XTExMTw\nyiuvMGrUKDIyMoiNjSU9PZ2AgACbQTbA6NGjLf+fnZ3NF198waJFiwDzS62UlBR27dpVZ5vQEydO\noNPpmDx5sv0C7aioKBYtWsQbb7xBcHAwa9asoWfPnooMERDCkdlzqHdjMu6OGuh0pgyvPQNZRdhh\n1IWjP9/6SF8llByKLu5O6cC4PcyxbS/zn2spGXB2tGyxo9OV3yS/xPZ84PySS+jKbyoyjNzX15cr\nV65w7NgxRo8ebZm3nJuba3Xejh07LNMagoODqaiooLCwsM4on+PHj7N7927UajW+vr6EhYVx9OjR\nOoG2n58f7777Ln5+fjzwwANs3rzZ5vWVlJSwfPlyNm3ahLe3NydOnCAgIIBRo0YB5n7/xRdf5MaN\nGw2OOKqpqSEiIoLCwkKWLl1K//79Adi+fTtRUVH06tXL6vzy8nI2btzIrl277lpuQxoMtCdMmMBP\nf/pTnJycePzxx+nTpw9ardbSSCE6srYY6m2vQEepwL1TZXjtEMjWUuR52GHUhSM/37uRvkooORRd\n3J09AmNHn2PbnuY/20tHyRY7Oo3hBvpKG/06UFZZTInhe0UC7WHDhrFy5UrS0tJYvnw5oaGhrFmz\nps55WVlZ7Ny5k+LiYlQqFSaTyeboodLSUuLi4nBycgKgoqLCkpm+XXJyMjt37mTOnDm4ubmxePFi\nm+fVLkwWHBwMgFarJScnx+pcV1dXioqKGgy0nZycOHbsGEVFRSxYsAC1Wk1wcDBZWVm88847dc7f\nvn07v/zlL+ndu/ddy21IvYH2mjVrGDduHCNHjsTLywswvxm+Pf3eXBcvXuTll1+2vD3o3bs3Tz/9\ndIvLFUJpbTHUW+lAR8nA3eGHKisdGNshkFXyeSg96sLhM/g2SF8l7iQBdutQOjBuD1nT9jL/WbRv\nPu5BeLh2R19ZVOdYV9fueLvX/4KmqWqHaWs0GhISEtizZ4/VtplVVVXExcWxZcsWxo4dS2VlJcOG\nDbNZlr+/P9u3b6+Twb5Tjx49WLVqFatWreLkyZMsWrSIMWPGWJ2zb98+NBoNCxYssCq/X79+pKen\nN6mN7777LqGhoXh5eeHr68svfvELsrKy0Gq15OXlMX78eMD8ouDYsWPk5+fz4YcfUlxczFtvvWUp\nZ9SoUezbt69J/Uu9gfaYMWP46KOP2Lt3Lz/96U8ZN24cQ4YMaVLD7mbQoEEsWSILQIn2obW2srJH\noKNo4O7oQ5UVDoztMX1A6Rcpio66sGMG316krxKibdgrMHbkrGl7m/8s2idPtx4EeA+0mqNdK8B7\ngGKrjx88eJC8vDyef/55fHx86NevHwAuLi4YjUZ0Oh1Go5GysjJLv/rGG2/g4uJCWVkZAM7Ozmi1\nWgIDAwkNDWX//v2sXr2a6upqUlJSmDp1KoMHD7bUWVVVxdNPP83mzZvx9/dn8ODBODs7o1arLedc\nvnyZXbt2ceDAAavPhw8fTmFhIefPn2f48OHk5OSQmppKSkoKKpWq3namp6eTk5PDokWLqKqq4uTJ\nkwwaNIjnnnuO5557znJefHw8ISEhTJ8+nZiYGKsyBg4cyCeffNLke1xvoD1x4kQmTpxIQUEBJ0+e\nZM+ePVRWVvLoo48ybtw4AgLa156/QrQLCgc6igfuDj5U2R6BsZKBrD1epCg66qId7vUufZUQbcuR\nA2N7scf8Z5PJxBdffOGQmXzR+iKHJP531fHLlFUW09W1OwHeA4gcotwuGhMmTCAhIYFJkybh5ORE\nnz592LBhA15eXgQHBzN+/HheffVV5s2bx7Rp0/Dz8yMmJoaJEycyf/58MjIyiIiIYPbs2axbt464\nuDjWrl1LeHg4YH4RXrvady0XFxdmzpzJU089BZhHoK1cuRJ39x8SK3v37qWsrMxyDsC4ceOIj48n\nNTWVpKQk9Ho9Li4uxMbGolKp7rrq+Pr163nxxReJiIigpqaGESNGNHs7vqZSmWpntzfC1atXOXny\nJGfPnsXHx4e1a9c2q9KLFy+ye/duAgMD0el0PPbYY/UOQ6h148aNZtVVn6CgIEXLvFVWRZ6uikBP\nF/y6uihWbkOUbkdbkXaYmTS3MK5bbDvQ8e6OeuXLTQqiTJcvYvxjAtj6a65Wo/59Mqr+g+oculs7\nav60znYgOzykWYuNKdleuCNDfkdg3OI57i3dm70Zz6O1/24o+XxvV9sOJbdIqk977qs6yr+FIG1x\nVNIWx9SR2gLtvz2t0Vc1hq78JiWG7/F2v6fV9tEWymlwMbTbGY1Gy39NiM/ruOeee3jssccYOXIk\n+fn5rF27lm3btuHsXP/l2OMPvBJlllVWsyrjS764UYLGUIWPuwtDg7xJihpEV9cm3d5mc5R/DFpK\n2gEEBVH4o6GU/+/HdQ65/WgoPQcNbVJxNV1cyOvuh7HoZp1jah9fAocMx8mvZz2XYrsdxlV/5Nam\nlVR+/SVGTRFqH19c+w/Cb+k61O5dm3R9FUX55i24bCktoYephi7NuZ/JO6i5VUh13nc4B95bbxub\noqaLC9XGapwDAptdXnOfR2v+3VDy+d6ptdrR3vuqjvJvIUhbHJW0xTF1pLZAx2tPW/B06yEBdjvW\nYCRYUFBAVlYWH3/8MdXV1Tz66KMkJia2aCVEX19ffv7znwMQGBiIj48PRUVFdx0q46gZ7bUf5vD5\n93rL74sNVXx85SaLD5xldWivu/ykMtr7G8Na0o4fmJ54HsrL62RkK594vlllG3v1AxuBnbFXP/Ir\nqsBGmQ22Y97vQXML9X8zvFU+fuQVa6C4nmHv9TCpnc37XNczVPmmyglVC+5n0OCHzO1oySgDhVeB\nb+rzaJO/Gwo939vZO6PdUfqqjvJvIUhbHJW0xTF1pLZA+2+PvCQQSqg30D569ChZWVlcv36dkJAQ\n5s2bx5AhQ+462byxsrKyKC4uZsqUKWg0GkpKSvD19W1xua3tVlkVX+TrbR67kK/nVllVqw4jFx2D\n0iud22uLMiUWiFP5+EGvflBytu7BXv1a1G6T5hYVRfmY1M4OtZ2ZvZ6HXfZdb0E2uLVIXyWEEEII\nR1RvoH3y5EnGjx/PyJEjrSaoK+EnP/kJW7du5cyZM1RXVzNv3ry7DsVzVJdvGqiqu40cAFVG+Pqm\nAb/eEmiL5lFqpfO22KJMEc2Mk27PQBdoS8wZcwfazkzp56F0xt1e+7jbi/RVQgghhHBE9X5j+MMf\n/mC3St3d3YmPj7db+Y7C8XNBojNprS3KmsKkuQU5V20f/PZqh9zOzIoCGWOlM+5Kl2dv0lcJIYQQ\nwhHJq/kWGNDDHRe1iipj3S/LLmoVA3o0P7vSVquYC9GqOuF2ZkpmjJVurz0y+EIIIYQQnZG64VNE\nffy6ujAs0PYqvMMCuzYrQDZUGVn3US5Ljlwj8di3LMm8xrqPcjHUN0ZdiPasNpC1pTmBbGMC9yaw\n7MttSzP35bZkjEuKzRnt2zLGTaZwexUvTwghhBCik5JAu4WWjr6Xn97riXcXJ1SAdxcnfnqvJ0tH\n39us8jZ/coPT3+koLq/BBBQbajj9nY6XP2m/KzcKUR/FA1mlA3fMi5cxPAS8u4Nabf51eEizFi9r\nTMa4SZRurx3unxBCCCFEZyRDx1vI3UXNynH3causinxdFQEtGOp9q6yKr28ZbB67fMsgq5iLDknJ\nVbgtgfvtc4xrNTMDrejiZQoPlVe6vfa4f0IIIYRoXw4cOMCsWbMaPO/w4cM8+uijeHp6trjOZcuW\nERERQWhoaIvLul1paSmrV6/mq6++wmQyERkZSVxcHADnz59n3bp1lJaW0rVrV2JjYxk7diwA//zn\nP9m5cydVVVUMGDCA5ORkunXr1qS6JaOtEL+uLgzyb95w8Vp5uio05TU2j2nKa8jXVTW7bCEcVW0g\nq175MurfJ6Ne+TJOC1c2e4VrJTPQVtfp44eq/6CWBZsOnnG3R3lCCCGEaKbycigqNv/aSmpqakhJ\nSWnUuampqeh0OkXqTUlJUTzIBti0aRM9e/YkMzOTd955h/fee48TJ05gMplYtGgRCxcuJDMzkw0b\nNrBkyRJKS0u5ceMGSUlJvPbaa7z//vvce++9vPLKK02uWzLaDqSLkwoVtlcrVwGuTi3fF1YIR2WP\n7cx6mGq4qXJymEysw2fc7VCeEEIIIZqouhr+3wUoKYGKSujiCt7e8NAwUGibyerqatasWcOZM2cw\nGo0MHDiQDRs2sGDBAkpLS4mIiOD111+nqqqKxMRENBoN1dXVxMbGEhUVxYoVK8jOziY6Opr169cz\nYMAAkpKSuHDhAtXV1SxYsIAZM2bUqffUqVOsX7+eiooKTCYTL7zwApGRkURHRzNz5ky6dOnCli1b\nLOd/9913LFu2jOjoaM6ePUtycjJarZbu3buzefNmevXqRX5+PnPnziUjI6NOfZMmTWLgwIEAeHl5\nMXjwYLKzsxk+fDj5+fmMHDkSgAEDBuDm5kZubi5nzpxh5MiRBAUFATBz5kyefPJJVq9e3aR7LBlt\nB1JRY6p3SzATUFkjG4YJ0VgqHz+6DH7I4YJEh86427E8IYQQQjTS/7sABYXmIBvMvxYUmj9XyMmT\nJ8nNzSUzM5OjR4/y4IMPcu7cOZKTk3FyciIzM5NevXqRkpLC+PHjOXLkCMnJySQmJlJVVcX69esB\nSEtL4yc/+QkbNmxArVZz5MgR3nnnHbZt28bly5fr1Ltx40ZWrFjB4cOH2blzJx988IHV8YiICDIz\nM8nMzCQpKQl/f3+mTJmCTqcjJiaGxYsXc+zYMZ588kliY2MBCAgIsBlkA4wePZqePXsCkJ2dzRdf\nfMGoUaPw8fFh0KBBvPfeewCcOXMGZ2dnHnjgAa5du0bv3r0tZfTu3Ztbt25RUlLSpHssGW0HEujp\ngo+bGk153RXGfbqoCfBs/rD0b24Z+L+bBn7Uw50H/Zq/7ZgQomUkYyyEEEKIepWXmzPZtpSUmI+7\nubW4Gl9fX65cucKxY8cYPXq0Zd5ybm6u1Xk7duzAZDIn+4KDg6moqKCwsNCS7a11/Phxdu/ejVqt\nxtfXl7CwMI4ePcqAAQP+f3v3Hh1VdfZx/DtJJiRDyJ2LEbmFi4iEAlqXFxQQa7wsoQW0/0C9VNFY\nrkqlGF50wYuFgA2VlFBe11KLrateFnWloEtEbLDQhVoEIxBjsFwiJJmQhCSTSTJz3j/SjInMABNO\nMhd+n7/IOSdn9jN7yDPP2fvs0+G4lJQUtm7dSkpKCunp6axb5/2pKzU1NTzzzDPk5OSQkJDAxx9/\nTN++fbn55psBuPfee3nuuecoKys7py0/5HK5yMzMpKKigsWLFzNsWOtCvCtWrODhhx9m9erVOBwO\nfve73xEdHY3D4SA5Odnz+9HR0VgsFhwOBwkJCRd6az1UaAeRFJuVYSk29p08916HYamdu//7TEML\n87cdpdbZuoq5BYjvEcn6uweTZFP3XyxdqBCzmTVVXkRERMJIg+P7kewfcja17jeh0M7IyCA7O5s/\n/elPPPPMM0yePJnly5efc1xhYSEbN27kzJkzWCwWDMPA7T53UPDs2bMsWLCAyMjI1qY6nWRmZp5z\n3KpVq9i4cSMPPfQQMTExLFq0yOtxzz77LD/72c8YP348ALW1tRw/frzDsdHR0VRVVV2w0I6MjOSD\nDz6gqqqKrKwsIiIi+OlPf8qvfvUr1q9fz4033khJSQmzZ89m5MiR2Gw2mpq+74O2ae42m/fHOvui\nSivIPHVzGus+KaPE7qCm0UVCTCRDU2J56ubzf4B8mb/tKDXO7xdYM4Aap4sF24/y6nQfj1USD12o\nEBEREZFuY4ttvSfbW7HdI7p1v0kyMzPJzMykurqapUuX8vLLLzNz5kzP/ubmZhYsWEBubi633XYb\nTU1NZGRkeD1Xnz59yMvLO2cE+4dSU1NZtmwZy5YtY/fu3cydO5cJEyZ0OObPf/4z1dXVZGVldTj/\nkCFDeOedd/yKcevWrUyePJn4+HiSk5O55557KCws5Nprr8Xlcnnu0R46dCgDBw7kwIEDDB48mH37\n9nnO8e2339K7d2/i4+P9em3dox1k2h4Xtu6uQfzvHQNYd9cgsif2J9bqf1eV2B3UOr2vYl7T6KLE\nx6PEAuHw6VoKjlQFVZvg+wsVbXfHt79QcSlK7I6gjFdEREREAigmpnXhM28SEkwZzQZ4++23ycvL\nAyAxMZEhQ4YAYLVacbvd1NXV4XA4aGho4NprrwXg1VdfxWq10tDQAEBUVBS1tbUATJ48mTfeeANo\nXWht1apVFBUVdXjN5uZmZs2aRXl5OQCjRo0iKiqKiIjv65zi4mLy8/NZu3Zth+1jxoyhoqKCL774\nAoDjx4+zePFiz7R2X9555x1effVVz+vv3r2bESNGcOWVV3L27FkOHGi9772srIySkhKGDh3KlClT\n2LNnD6WlpQC88sor3HvvvX69v6AR7aCVYuv887jbHK50nHdxteJKR6enQZs1lbqrRozNaN/FXKjw\n99waIRcRERGR8/pRhu9Vx01y++23s3TpUn7yk58QGRnJwIED+e1vf0t8fDzjx49n0qRJbNq0iV/+\n8pdMmzaNlJQUnnjiCaZMmcLjjz9OQUEBmZmZ/PznP2flypUsWLCA559/njvvvBOACRMmeFb7bmO1\nWpkxYwYPPvggABEREWRnZxMb+/336VdeeYWGhgbPMQATJ05kyZIl/P73v2fFihXU19djtVqZP38+\nFovlvKuOv/DCCzz33HNkZmbicrkYN24cjz76KDabjTVr1vDss8/S1NREREREh/u3ly9fzpNPPonL\n5eKaa64hOzvb7/fYYlzoMkCQKCsrM/V8aWlppp8zEM4XR4ndwdPv/cfn48LWZg4MeKE4+62vO0xt\nb5MYE9mpqe1mtq/gSBWbPy33uX/OdX24e0Ryh20X+lyZHW9XuRz+f4SKcIgBvo/jQvdRhbpL7atw\n6W9QLMFKsQSncIoFQj+eoMlVjY2t92TbYk0byZbuo6njYWxoSizxPSK97ovvEdmpkV4zp1J3xdR2\nM9t3dWosvp5cbgGGp/r3/oXSVH4RERERCbCYGEhOUpEdolRoh7n1dw8moUekp2C0AAn/HeH1l9mF\n4sVMbQ9k+8y+UGF2vCLt6b5/ERERkeChm0LDXJItitdmDKPE7qC40sHwS7hn2ex7vttGjH1Nbfd3\nxLgr7klff/dgn1PR/WV2vCIQ3OsciIiIiFyuVGhfJoamXPqXZbMLxbYRY2/3LHdmxLgrClkzL1T4\nG68KnfBmb2jmVF0z/eIubeFDsx/hpwX7RERERC5dQKeONzU1MXfuXHbt2hXIZshF6op7vj1T2/87\nt/1SprZ3Rfvan/vuEcmXXPBezFT+Mw0tzH7ra55+7z9s/rScp9/7D7Pf+pozDS2X9Npmszc0U1Te\ngL2h2ZTzBfvUZ7PidTS7WbnrBAu3HWXpB8dYuP0oK3edwNHs9vtcwb7OQbhQrhIRERF/BXR44u23\n3yYuLi6QTRA/mTmVGr4fMa6NjGP3V8cuacS4K9pntosZITd7hNJsjmY36z4po7iytciL7xHJ8NRY\nnro5rVPPe+/Kqc+7T52gn9V5SZ8ps+NdU3iSz7+r9/xc0+hm38k6cgpP8j+Tr/LrXGbfLtEVj7QL\nB8pVIiIi4q+AFdonT57kxIkTjB07NlBNkE4wcyp1e1f3jSfelXzhAwPUPrP5msofCoVOzu6TfFbW\nrlB0uloLxd0n+Z9J/hWKEPxTn82M197QzMHT9V73HThdj72h2a9p5KGwzkGoU64SERGRzghYof3a\na6/xyCOPXPRUvK54nl3QPCPvEgUijrQ0uNX0c5oXR1e07+Jfu/Nx7D514ryFzumWHtzayfMfPl3L\ngZO1ZFwZz9V94y94vLc4KuqcHDx9xOvxB083YI1PoXdcD7/a5PPCgtNFbWTcRbW1vYfydnst3Be9\nf4z3n7zFr3OZHe+R4nJ8zRBvdoPdHcvotD7n7PP1mUpLg6R/fEdVQ9M5+5Js0dw6Ov2i2wZwa2Qc\n//dpuffC3QK3XDOAND/7o71Q/JsbiFwViu+TL4olOCmW4BROsUD4xSPir4AU2h9//DHDhw+nT59z\nv1D6YvZD79PS0kw/ZyAojuByqXH0szrPO0LZN8rp9/k7M8LrK449x2ppcnm/FNDkMvjHl0e5ccDF\nF2L/OFLl+8KCAbu/OubXTIcSu4MzXopOgDMNTfzj4Dd+jciaHW9VVe1599urqigr63gv/oU+Uy/e\nOcBr/7545wC/Pyvx//1drwv2RUcS76qjrKzOr3O2aYsjlL54BSJXhcvfQlAswUqxBKdwigVCP55Q\nylUSvAJSaH/++eeUl5fz+eefY7fbsVqtJCcnk5GREYjmiAQNs1dih+6959ty4UM6CPWpz/7GOzw1\nFmuEhWb3ua20RlgCvjI+BP86B91JuUpEREQ6KyCF9sKFCz3//utf/0qfPn30xUXkv8wsdMy+57u1\nUMTr9GdrBAwLs0e8mR1vis1KRj9bh3u+22T0s13SY77MeIQfhM46B91BuUpEREQ6Sw9FFQkyZhY6\nZo/wptisjO7bs8Oq2W1G9+3ZqULRzAsLZhfuXRHv4luu9LmKeTAxq3AXERERuRwFvNC+//77A90E\nkaBkRqFj9ggvwK8ntBWKDdQ63cT3iGB4qq3ThWKwT302O95YawTZE/tjb2jmdF0zfeOslzSSLd1D\nuUpERET8EfBCW0S6Tlfc891VhWJXTH0+3dKDvlGX9hztroo3xaYCW0RERCRcRQS6ASLStdbfPZiE\nHpGehbssQIIJi1ul2Kxc0+fS7ivuSkNTYpk5tr9p05+DPV4RERERCR4a0RYJc1rcSkRERESke6nQ\nFrlMaHErEREREZHuoanjIiIiIiIiIiZSoS0iIiIiIiJiIhXaIiIiIiIiIiZSoS0iIiIiIiJiIhXa\nIiIiIiIiIiZSoS0iIiIiIiJiIhXaIiIiIiIiIiZSoS0iIiIiIiJiIhXaIiIiIiIiIiZSoS0iIiIi\nIiJiIhXaIiIiIiIiIiZSoS0iIiIiIiJioqhAvKjT6SQvL4+amhqam5uZPn0648ePD0RTREREvFKu\nEhERkc4KSKH92WefkZ6eztSpU6moqGDlypX68iIiIkFFuUpEREQ6KyCF9k033eT5t91uJzk5ORDN\nEBER8Um5SkRERDrLYhiGEagXz87Oxm63s2TJEgYOHBioZoiIiPikXCUiIiL+CmihDfDtt9+yYcMG\ncnJysFgsgWyKiIiIV8pVIiIi4o+ArDpeWlpKZWUlAIMGDcLlclFbWxuIpoiIiHilXCUiIiKdFZBC\n+6uvvqKgoACA6upqGhsb6dWrVyCaIiIi4pVylYiIiHRWQKaONzU1sXHjRux2O01NTcyYMYPrrruu\nu5shIiLik3KViIiIdFbA79EWERERERERCScBmTouIiIiIiIiEq5UaIuIiIiIiIiYKCrQDQiEV155\nha+//hqLxcKDDz7I0KFDA90kn4qKinjxxRe56qqrABgwYAD33XcfGzZswO12k5iYyNy5c7FarRQW\nFrJt2zYsFgtTpkxh8uTJAW59q2PHjpGTk8M999xDZmYmlZWVF93+lpYW/vCHP1BRUUFERARZWVn0\n7ds34DHk5eVRWlrqWRjpvvvuY9y4cUEdA8CWLVs4dOgQbrebadOmkZ6eHnJ94S2OTz/9NOT6w+l0\nkpeXR01NDc3NzUyfPp2BAweGVH94i2Hv3r0h1xfBIJTyUhvlp+D7/IZLroLwyVfeYgnFnAXhkbdE\nupVxmSkqKjJeeOEFwzAM4/jx48bSpUsD3KLz+/LLL421a9d22JaXl2f885//NAzDMF5//XXj/fff\nNxwOhzFv3jyjvr7ecDqdxqJFi4yzZ88GoskdOBwO47nnnjPy8/ON7du3G4bhX/s/+ugjY/PmzYZh\nGMb+/fuNF198MShi2LBhg/Hpp5+ec1ywxmAYhnHw4EFj1apVhmEYRm1trfH444+HXF/4iiMU++OT\nTz4xtm7dahiGYZSXlxvz5s0Luf7wFthznHsAAAqfSURBVEMo9kWghVpeaqP8FFyf33DJVYYRPvnK\nVyyh2i/hkLdEutNlN3X84MGDXH/99QD079+f+vp6GhoaAtwq/xQVFXlWvr3uuus4cOAAJSUlpKen\nY7PZiI6OZsSIERw+fDjALQWr1cpvfvMbkpKSPNv8af+XX37Jj3/8YwBGjx7NkSNHgiIGb4I5BoBr\nrrmGhQsXAtCzZ0+cTmfI9YWvONxu9znHBXscN910E1OnTgXAbreTnJwccv3hLQZvgjmGYBAOeamN\n8lPghEuugvDJV75iCcWcBeGRt0S602U3dby6upohQ4Z4fo6Pj6e6uhqbzRbAVp3fiRMnWL16NXV1\ndcycOROn04nVagW+b391dTXx8fGe32nbHmiRkZFERkZ22OZP+9tvj4iIwGKx0NLSQlRU9310vcUA\n8N5771FQUEBCQgIPP/xwUMfQ9toxMTEA7Ny5k7Fjx/LFF1+EVF/4iiMiIiLk+qNNdnY2drudJUuW\nsGLFipDrjx/GUFBQELJ9ESihmJfaKD8Fz+c3XHJV2+uHQ77yFUso5ywIj7wl0h0u+0+2EeRPN7vi\niiuYOXMmN954I6dPn+b555/H5XIFulkBEyz9deutt9KrVy8GDRrE1q1befPNNxkxYsRF/W6gY9i3\nbx87d+4kOzubefPmdfo8wRTHN998E7L9sXLlSr799lteeumlS2pLIONoH8MvfvGLkO2LYBEq74Py\nU0fB2G+hnKsgfPIVhE/OgvDIWyLd4bKbOp6UlNThSvqZM2cuOM0qkJKTk7npppuwWCz069ePxMRE\n6uvraWpqAqCqqoqkpKRz4mrbHoxiYmIuuv3tt7e0tGAYRlBc+Rw9ejSDBg0CWqdKHTt2LCRi2L9/\nP++88w5Lly7FZrOFbF/8MI5Q7I/S0lIqKysBGDRoEC6Xi9jY2JDqD28xDBgwIOT6ItBCLS+1UX4K\n/s9vKP5tbBMu+QrCI2dBeOQtke502RXaY8aMYe/evUDrH4ykpCRiY2MD3CrfCgsLeffdd4HW6YU1\nNTVMnDjRE8PevXv50Y9+xLBhw/jmm2+or6+nsbGRI0eOMHLkyEA23afRo0dfdPvb99dnn33GqFGj\nAtl0j7Vr13L69Gmg9Z6+q666KuhjaGhoYMuWLSxZsoS4uDggNPvCWxyh2B9fffUVBQUFQOv/7cbG\nxpDrD28x/PGPfwy5vgi0UMtLbZSfgv/zG4p/GyF88pWvWEK1X8Ihb4l0J4txGc7beP311zl06BAW\ni4VHHnnEc1UxGDkcDtavX09DQwMtLS3MmDGDwYMHs2HDBpqbm0lNTSUrK4uoqCj27t3Lu+++i8Vi\nITMzkwkTJgS6+ZSWlvLaa69RUVFBZGQkycnJzJs3j7y8vItqv9vtJj8/n++++w6r1UpWVhapqakB\njyEzM5O//e1vREdHExMTQ1ZWFgkJCUEbA8COHTt48803ueKKKzzbnnzySfLz80OmL3zFMXHiRN5/\n//2Q6o+mpiY2btyI3W6nqamJGTNmeB5fEyr94S2GmJgYXn/99ZDqi2AQSnmpjfJTcH1+wyVXQfjk\nK1+xhGLOgvDIWyLd6bIstEVERERERES6ymU3dVxERERERESkK6nQFhERERERETGRCm0RERERERER\nE6nQFhERERERETGRCm0RERERERERE+kp8SI/YBgG27dv56OPPqKlpYWWlhbS0tJ44IEHGDJkCND6\nmJG5c+dy9dVX+zxPXl4e/fr1Y/r06Rf92kVFReTn5/PSSy+ds6+0tJQtW7ZQVVWFYRjExcUxa9Ys\nTxt27NjBlClT/IxWRERCkXKViEhwU6Et8gN/+ctfKCoqYunSpSQlJeF2u/nwww9ZsWIF69evJz4+\nvtvbZBgGq1evZs6cOYwbNw6Af/3rX6xZs4aNGzficDh499139eVFROQyoVwlIhLcVGiLtFNXV8e2\nbdvIyckhKSkJgIiICO644w5uueUWYmNjz/mdPXv28NZbb+FyuUhKSmLOnDn069cPgKqqKpYvX05F\nRQWDBw9m7ty5xMTEUFxczMsvv4zT6cRisfDQQw+RkZHhs11nz57lzJkzDBs2zLPthhtuYOjQofTo\n0YOnnnoKu93OggULWLt2LadOnWLz5s1UV1cTFRVFVlYW6enp7Nq1iz179hAXF0dxcTHR0dE8/fTT\nXHHFFSa/kyIi0lWUq0REgp/u0RZpp7i4mNTUVK/J3NsXl8rKSjZt2sTixYvJzc1l3LhxbN682bN/\n//79PPXUU2zYsIG6ujp27twJwKZNm7jvvvvIzc1l2rRpHX7Hm169epGens7zzz/Pzp07KS8vByAl\nJQWAJ554gtTUVHJzc4mIiCAnJ4fbbruN9evX8+ijj7JmzRpcLhcABw4c4M477+Sll17i+uuvZ8uW\nLZ17s0REJCCUq0REgp9GtEXaqa+v7zDdrr6+nmeffRaAxsZG7rrrLqZOnerZf+DAAUaNGuUZFbj9\n9tvZsmWL54vC2LFjPee74YYbKC4u5u677yYnJ8dzjpEjR3q+jPhisVhYtmwZBQUFbNu2jfz8fPr3\n788DDzzADTfc0OHYsrIyampqmDRpEgBXX3018fHxHDlyBID+/fszfPhwT5s+/PBD/98oEREJGOUq\nEZHgp0JbpJ34+HjOnDnj+blnz57k5uYCkJ+fj9Pp7HB8bW0tPXv29Pxss9mA1ulzbedrv6++vh6A\nwsJCtm/fjsPhwO12YxjGBdtms9m4//77uf/++6murmbXrl3k5uZ2+CIErV+4nE4nCxcu9GxzOBzU\n1dUBEBcX1yG+tu0iIhIalKtERIKfCm2RdoYPH05NTQ1Hjx5l8ODBFzw+ISGB4uJiz891dXVYLBZ6\n9erl+bn9vp49e1JVVcWmTZtYtWoVgwYN4rvvvmP+/PnnfR273U5FRYVn1dbExESmTZvGnj17OHHi\nhOf1AJKSkrDZbJ4vXe3t2rWL2traDm1q/2VGRESCn3KViEjw0z3aIu3ExsYyffp0NmzYwKlTpwBw\nu9188skn7NmzxzPtrk1GRgaHDh3i9OnTAHzwwQeMGTOGyMhIAP79739TV1eH2+1m3759jBw5ktra\nWnr06EFaWhoul4sdO3YArdP9fLHb7eTk5FBaWurZVlJSQmVlJenp6URGRtLY2IjL5aJ3794kJyez\nd+9eoHUkIzc313P+srIyjh49CsDevXsZOXKkGW+diIh0E+UqEZHgpxFtkR+YOnUqcXFxrFu3jubm\nZpqbm0lLS2PRokWMGTOmw7EpKSnMmTPHs4BLnz59eOyxxzz7x48fz7p16ygvLyc9PZ1JkyZhtVoZ\nO3Ys8+fPJzExkVmzZnH48GGWL1/O7NmzvbZp+PDhPPbYY2zevJmGhgbcbjeJiYksXLiQ3r17ExcX\nR1xcHI899hirV69mwYIFbN68mTfeeAOLxcK9995LTEwMACNGjODvf/87hw4dIiYmhl//+tdd92aK\niEiXUK4SEQluFuNibrgRkbCwa9cuCgsLWbZsWaCbIiIi4pVylYiEA00dFxERERERETGRCm0RERER\nERERE2nquIiIiIiIiIiJNKItIiIiIiIiYiIV2iIiIiIiIiImUqEtIiIiIiIiYiIV2iIiIiIiIiIm\nUqEtIiIiIiIiYqL/B5wp9Daxbm0EAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d1b02b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inception_split(df, \"learning_rate\", learning_rates, \"state_size\", state_sizes)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "## Hyperparam Search on Dropout and Num Layers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>dropout_prob</th>\n",
       "      <th>embed_size</th>\n",
       "      <th>global_step</th>\n",
       "      <th>learning_rate</th>\n",
       "      <th>loss</th>\n",
       "      <th>num_layers</th>\n",
       "      <th>state_size</th>\n",
       "      <th>vocab_size</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>32</td>\n",
       "      <td>2</td>\n",
       "      <td>0.5</td>\n",
       "      <td>10.595644</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>32</td>\n",
       "      <td>203</td>\n",
       "      <td>0.5</td>\n",
       "      <td>5.747638</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>32</td>\n",
       "      <td>404</td>\n",
       "      <td>0.5</td>\n",
       "      <td>5.864061</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>32</td>\n",
       "      <td>605</td>\n",
       "      <td>0.5</td>\n",
       "      <td>5.508001</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0.2</td>\n",
       "      <td>32</td>\n",
       "      <td>806</td>\n",
       "      <td>0.5</td>\n",
       "      <td>5.496625</td>\n",
       "      <td>2</td>\n",
       "      <td>128</td>\n",
       "      <td>40000</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   dropout_prob  embed_size  global_step  learning_rate       loss  \\\n",
       "0           0.2          32            2            0.5  10.595644   \n",
       "0           0.2          32          203            0.5   5.747638   \n",
       "0           0.2          32          404            0.5   5.864061   \n",
       "0           0.2          32          605            0.5   5.508001   \n",
       "0           0.2          32          806            0.5   5.496625   \n",
       "\n",
       "   num_layers  state_size  vocab_size  \n",
       "0           2         128       40000  \n",
       "0           2         128       40000  \n",
       "0           2         128       40000  \n",
       "0           2         128       40000  \n",
       "0           2         128       40000  "
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "path = BASE + 'cornell.csv'\n",
    "df = pd.read_csv(path, index_col=0)\n",
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{0.20000000000000001, 0.5, 0.80000000000000004}\n",
      "{2, 4}\n"
     ]
    }
   ],
   "source": [
    "dropout_probs = set(df['dropout_prob'])\n",
    "num_layers = set(df['num_layers'])\n",
    "print(dropout_probs)\n",
    "print(num_layers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAtUAAAGoCAYAAACJ5xnpAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d89f2e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAsYAAAGoCAYAAABFfiMCAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nAAAkERgDAAAAkgiMAQAAAEnS/wNDyULxVehlcAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8cd3f0b8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "split_df_and_plot(df, 'dropout_prob', dropout_probs)\n",
    "split_df_and_plot(df, 'num_layers', num_layers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA+gAAAHyCAYAAAB4ceQwAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nABJ0AAAAAAAMgAQdAAAAAAAD+P9wdJEIpLcPbQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d506ac8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inception_split(df, \"dropout_prob\", dropout_probs, \"num_layers\", num_layers)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAA/EAAAEGCAYAAAAtyRUdAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f8b8d9c4128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "inception_split(df, \"num_layers\", num_layers, \"dropout_prob\", dropout_probs)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "# Loss Functions"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "I've been scratching my head a lot lately thinking about how to implement sampled softmax loss without having to split tensors across time, an operation that destroys any gain in runtime efficiency offered by negative sampling. Let's start by working through how tensorflow samples classes by default: __log-uniform (Zipfian) base distribution__:\n",
    "\n",
    "$$\n",
    "\\text{Prob(c)} = \\dfrac{\\log(c+2) - \\log(c + 1)}{\\log(\\text{vocab size} + 1)}\n",
    "$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAm0AAAGDCAYAAAB5rSfRAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSdoiIiIiGuAfgoSaV5R6tmAAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f053fefd7f0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "%matplotlib inline\n",
    "vocab_size = 40000\n",
    "x_axis = np.arange(vocab_size)\n",
    "zipfian = (np.log(x_axis + 2) - np.log(x_axis + 1)) / np.log(vocab_size + 1)\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.semilogy(x_axis, zipfian)\n",
    "plt.title('Log-Uniform Zipfian Sampling Distribution.')\n",
    "plt.xlabel('Word ID (in order of decreasing freq.)')\n",
    "plt.ylabel('Sampling probability')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYoAAAEWCAYAAAB42tAoAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7f053fee1ba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "batch_size = 64\n",
    "num_samples = 512\n",
    "samples = [np.random.choice(x_axis, p=zipfian) for _ in range(num_samples)]\n",
    "plt.hist(samples)\n",
    "plt.title('Histogram of %d Sampled Values' % num_samples)\n",
    "plt.xlabel('Sampled Word ID')\n",
    "plt.ylabel('Counts')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Candidate Sampling - TensorFlow\n",
    "\n",
    "[[Link]](https://www.tensorflow.org/extras/candidate_sampling.pdf)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### What is Candidate Sampling\n",
    "\n",
    "__Goal__: Learn a compatibility function $F(x, y)$ which says something about the compatibility of a class $y$ with a context $x$. \n",
    "\n",
    "__Candidate sampling__: for each training example $(x_i, y_i^{\\text{true}})$, only need to evaluate $F(x, y)$ *for a small set of classes* $\\{C_i\\} \\subset \\{L\\}$, where $\\{L\\}$ is the set of all possible classes (vocab size number of elements). \n",
    "\n",
    "We represent $F(x, y)$ as a *layer that is trained by back-prop from/within the loss function*."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "### From Scratch: tf.nn.sampled_softmax_loss\n",
    "\n",
    "My version of tensorflow's op, customized with DynamicBot in mind. \n",
    "\n",
    "Here is a subset of the source code with all the irrelevant parts removed, with the aim of understanding the implementation."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```python\n",
    "def sampled_softmax_loss(output_projection, labels, state_outputs, num_sampled, vocab_size, sess=None):\n",
    "    \"\"\"\n",
    "    Args:\n",
    "        output_projection: (tuple) returned by any Decoder.get_projections_tensors()\n",
    "            - output_projection[0] == w tensor. [state_size, vocab_size]\n",
    "            - output_projection[1] == b tensor. [vocab_size]\n",
    "        labels: 2D Integer tensor. [batch_size, None]\n",
    "        state_outputs: 3D float Tensor [batch_size, None, state_size].\n",
    "            - In this project, usually is the decoder batch output sequence (NOT projected).\n",
    "            - N.B.: Assumption is that 'None' here is always the same 'None' in labels (target sequence length).\n",
    "        num_sampled: number of classes out of vocab_size possible to use.\n",
    "        vocab_size: total number of classes.\n",
    "    \"\"\"\n",
    "```\n",
    "\n",
    "First step: unpack output projection tuple and reshape for convenience. \n",
    "* Possible optimization: Don't do reshapes. They seem to be slow for sparse stuff. \n",
    "* SparseTensors may be useful here. Look into later. \n",
    "\n",
    "```python\n",
    "    # Extract transpose weights, now shape is [vocab_size, state_size].\n",
    "    # Use tf.reshape which is dynamic as opposed to static (i.e. slow) tf.transpose.\n",
    "    weights = tf.reshape(output_projection[0], [vocab_size, -1])\n",
    "    state_size = tf.shape(weights)[-1]\n",
    "    biases  = output_projection[1]\n",
    "```\n",
    "\n",
    "__Shape check__:\n",
    "* weights: [vocab size, state size]\n",
    "* biases: [vocab size]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, enter our implementation of what tensorflow has named as ```_compute_sampled_logits```. \n",
    "* The values passed in ```name_scope``` are for graph visualization reasons. Not important.\n",
    "\n",
    "```python\n",
    "\n",
    "    with tf.name_scope(\"compute_sampled_logits\", [weights, biases, state_outputs, labels]):\n",
    "        # Smush tensors so we can use them with tensorflow methods.\n",
    "        # Question: Docs suggest we should reshape to [-1, 1] so I'm keeping.\n",
    "        # but original code had it as just [-1].\n",
    "        labels = tf.cast(labels, tf.int64)\n",
    "        labels_flat = tf.reshape(labels, [-1, 1])\n",
    "```"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "__Sampling__:  Returns 3-tuple:\n",
    "1. sampled_candidates: [num_sampled] tensor\n",
    "2. true_expected_count shape = [batch_size $\\times$ None, 1] tensor\n",
    "    * Entries associated 1-to-1 with smushed labels.\n",
    "3. sampled_expected_count shape = [num_sampled] tensor\n",
    "    * Entries associated 1-to-1 with sampled_candidates.\n",
    "    \n",
    "```python\n",
    "        # Sample the negative labels.\n",
    "        sampled_values = tf.nn.log_uniform_candidate_sampler(\n",
    "            true_classes=labels_flat, num_true=1, num_sampled=num_sampled,\n",
    "            unique=True, range_max=vocab_size)\n",
    "        S_i, Q_true, Q_samp = (tf.stop_gradient(s) for s in sampled_values)\n",
    "```\n",
    "\n",
    "__What's going on here__: \n",
    "* NOTE: Remember we are inside a single time slice/step right now!!!\n",
    "* ```S_i```: (int64) tensor of shape [num samples], using naming convention of article. The subset of the vocabulary we'll be using henceforth for *all examples in the current batch*. \n",
    "* ```Q_true```: (float) tensor of shape [batch size, 1]. The probability of sampling the true class. Period. Literally the value $Q(y \\mid x)$ for each training example out of ```batch_size``` total. \n",
    "* ```Q_samp```: (float) tensor of shape [num samples]. The value of $Q(y_{samp} \\mid \\text{log uniform})$ for all $y_{samp}$ in the tensor ```sampled```. That's it. *Independent of, and not associated with, batch size*. \n",
    "\n",
    "__Epiphany__: Just realized something. The reason we should *not* do the suggestion from stackoverlow is because for a given sampled sentence, *it would force all sampled words in that sentence to be from the same subset of size num samples*. We would get pretty terrible sentences, especially when the next word is likely to be rare given the previous word. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```python\n",
    "\n",
    "        # Casting this back to actually be flat.\n",
    "        batch_times_none = tf.shape(labels_flat)[0]\n",
    "        labels_flat = tf.reshape(labels, [-1])\n",
    "        # Get concatenated 1D tensor of shape [batch_size * None + num_samples],\n",
    "        C_i = tf.concat([labels_flat, S_i], 0)\n",
    "\n",
    "        # The embedding_lookup here should be thought of as embedding\n",
    "        # the integer label and sampled IDs in the state space.\n",
    "        # all_w has shape [batch_size * None + num_samples, state_size]\n",
    "        # all_b has shape [batch_size * None + num_samples]\n",
    "        all_w       = tf.nn.embedding_lookup(weights, C_i, partition_strategy='div')\n",
    "        all_b       = tf.nn.embedding_lookup(biases, C_i)\n",
    "        \n",
    "        true_w      = tf.slice(all_w, begin=[0, 0], size=[batch_times_none, state_size])\n",
    "        true_b      = tf.slice(all_b, begin=[0], size=[batch_times_none])\n",
    "        \n",
    "        sampled_w   = tf.slice(all_w, begin=[batch_times_none, 0], size=[num_sampled, state_size])\n",
    "        sampled_b   = tf.slice(all_b, begin=[batch_times_none], size=[num_sampled])\n",
    "\n",
    "        state_outputs    = tf.reshape(state_outputs, [batch_times_none, state_size])\n",
    "        state_outputs = tf.cast(state_outputs, tf.float32)\n",
    "        \n",
    "        true_logits      = tf.reduce_sum(tf.multiply(state_outputs, true_w), 1)\n",
    "        true_logits     += true_b - tf.log(Q_true)\n",
    "```\n",
    "\n",
    "Question: how are we not done here? \n",
    "* Answer 1: because we haven't softmaxed yet...\n",
    "* Answer 2: Ohhhhhhh. It's because true logits only gives us the log probabilities *for the target ys*. It's important to remember we are basically building a smaller network output over num samples (+1) space instead of vocab space. So far, we just have the +1 part. Now we need the num samples part. And yes, technically the num samples argument should clarify that it ends up using num samples +1.\n",
    "\n",
    "I see now that remove accidental hits defaults to True because it's probably easier than dealing with "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "```python\n",
    "        # Matmul shapes [batch_times_none, state_size] * [state_size, num_sampled].\n",
    "        sampled_logits   = tf.matmul(state_outputs, sampled_w, transpose_b=True) + sampled_b\n",
    "        # NO. BOO.\n",
    "        #sampled_logits  += _sparse_to_dense(sampled_logits, tf.expand_dims(labels_flat, -1), sampled, num_sampled) \n",
    "        sampled_logits  -= tf.log(Q_samp)\n",
    "\n",
    "        # Construct output logits and labels. The true labels/logits start at col 0.\n",
    "        # shape(out_logits) == [batch_times_none, 1 + num_sampled]. I'M SURE.\n",
    "        out_logits = tf.concat([true_logits, sampled_logits], 1)\n",
    "        # true_logits is a float tensor, ones_like(true_logits) is a float tensor of ones.\n",
    "        out_labels = tf.concat([tf.ones_like(true_logits), tf.zeros_like(sampled_logits)], 1)\n",
    "\n",
    "    return tf.reduce_mean(tf.nn.softmax_cross_entropy_with_logits(labels=out_labels, logits=out_logits))\n",
    "```"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
